BRIGHT YOUNG BRAINS

Equations of the asymptotes of a hyperbola

A Parabola's x intercept with the x-axis

Range of a Parabola

Y intercept of an exponential graph

x intercept of an exponential graph

Y intercept of a straight-line graph

Y intercept of a cubic function

Y intercept of a parabola

X intercept of a parabola

X intercept of a log graph.

X intercept of a hyperbola

Calculating the gradient of a straight line graph

x intercept of a straight line graph

Verifying if a point is on a graph

Equation of the inverse of an exponential graph

Domain of an exponential graph’s inverse

Range of an exponential graph #2

Getting a point that a tangent meets a curve

Equation of a parabola given the x intercepts

Equation of the asymptote of an exponential graph

Point of intersection of a parabola and a straight-line graph

Coordinates of the turning point of a parabola

Getting the equation of an exponential graph when a point is given

Sketch the graph of the inverse of y = 1.

Is the inverse of y = 1 a function? Motivate your answer.

Parabola Turning point

Getting the equation of a straight line

Determining where a straight line meets a surd function.

Equation of the axis of symmetry of parabola

Getting the equation of a parabola in completed square format

Getting the turning points after a parabola is reflected about the x-axis.

Equation of the vertical asymptote of h if h is the graph of g after it has been moved 5 units to the left.

Getting the length between 2 points

Log graph equation

Domain of a log graph

Determining the equation of the line of symmetry of a hyperbola that as a negative or positive gradient in the form y = …

Determine the equation of g(x) = f(-x).

Determining if the inverse of a graph is a function or not.

Write down the equation of the axis of symmetry of h if h is the graph of parabola f, after it has been moved 7 units to the right and 2 units up.

The graph of h is concaved down for x < k. Calculate the value of k.

Equation of an exponential graph after it has been reflected about the y axis.

Domain of the inverse of a straight-line graph

Determining the x value(s) where a straight line and its inverse meet.

Determining if a graph has a local minimum of a local maximum.

Getting the average gradient between 2 points on a cubic function.

Calculating the average gradient between 2 points on an exponential graph.

Write down the equation of the asymptote of h if h is the graph of f after it has been multiplied by 3.

Getting the equation of the inverse of a (RESTRICTED)parabola.

Getting an equation of the vertical asymptote of a hyperbola after it has been shifted a certain number of units to the left.

Determine for which values of x for which f is strictly increasing.

Getting an equation of a function after it has been reflected about the line y = x.

Getting the average gradient between 2 points on a parabola.

Determine the coordinates of the turning point of p if = p(x) = f(3x)

Turning point of cubic function

For which values of k will the parabola f(x) = k have two distinct roots

Determine the equation of a hyperbola given the domain, range, and a coordinate.

Sketch the graph of the inverse of an exponential graph

Write down the equation of the inverse of an exponential graph’s asymptote after it has been moved 2 units to the left.

Determine the equation of a hyperbola given the point of intersection of the asymptotes and the x intercept of the graph.

Point F is the reflection of point B across point C. Determine the coordinates of point F.

Determine the equation of a parabola given the turning point

Show that a certain coordinate is the only x intercept of the cubic function f(x).

Sketching the graph of a parabola

Domain of h if h(x) is the inverse of g moved 3 units to the right

Equation of a cubic function when the function only had 1 x intercept.

Determining the coordinate of the turning point of h if h is the graph of f after it has been multiplied by 2 and moved 4 units down.

Determine the range of a surd function

Getting the inverse of a surd function

Sketching a hyperbola.

Domain of the inverse of a log graph.

Writing down the length between 2 points in terms of x.

Determining the maximum length between 2 points between 2 graphs at the same x value.

Using the y intercept of a parabola.

Sketch the graph of a hyperbola given the domain, axis of symmetry an where its increasing.

Sketching a parabola and its inverse on the same set of axes

Determining a point where a hyperbola meets a straight line.

Determining the size of angle on a cartesian plane.

Maximum distance between straight line and cubic function, where x < 0

Getting the missing variables (2) to a cubic function in a tangent question

Drawing a graph when the properties are given in function “notation” etc.

Calculate the x coordinate of the point at which the first derivative of the cubic function f(x) is a maximum

Determine the equation of a tangent to a parabola at a certain point

Using graphs to solve for x where f(x) >_ g(x)

Parabola inequality question

Turning points of a cubic function.

Sketch the graph of a cubic function that has 1 x intercept.

For which values of x is the inverse of the exponential graph g(x) <_ 0.

If g(x) > 0 for what values of x will g be defined?

Factor of a cubic function.

Getting the x intercepts of a cubic function

Calculate the stationary points of the cubic function f(x).

The graph of f is translated to g. Describe the transformation in the form (x ; y) → ...; if the axes of symmetry of g are y = x + 3 and y = -x + 1.

Getting the equation of a cubic function that has 3 x intercepts.

For which values of x will f’(x) < 0.

For which values of k will the equation g(x) = x + k have two real roots that are of opposite signs?

For which values of x will the hyperbola be above the straight line?

Determine the values of x for which the inverse of the exponential graph is above 2?

Write down the value of the maximum gradient of the tangent to the graph of parabola f.

Determine the values of x for which g’’(x) > 0?

Determining point where a tangent to a curve is parallel to a certain straight-line graph.

Determine the values of k for which f(x) = k has two unequal positive roots?

Proving that an expression is a factor of a cubic functions.

For which values of x will f’(x). f’’(x) > 0

Proof that a cubic function has only one real root.

Long but simple exponential graph expression

Dealing with a hyperbola’s equation that is not in standard form

Putting a hyperbola’s equation into standard form

Working with an empty equation of an exponential graph

Drawing the possible sketch of the first derivative of a cubic function with no equation given

Following specific info about a tangent to a curve

Using properties of a cubic function that has 2 x intercepts

Carefully using the properties of a parabola before sketching it.

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