Other graphs - AQA test questions - AQA - GCSE Maths Revision

1

What will be the general shape of the graph y = 4 – x²?

a U shape

a ∩ shape

a straight line

2

If y = x² + 2x + 5, what is the value of y when x = -3?

8

-10

5

3

What is the equation of this graph?

y = x³

y = x²

y = \(\frac{1}{x}\)

4

How many lines of symmetry does the graph y = \(\frac{1}{x}\) have?

0

1

2

5

What is the equation of this graph?

This is an exponential graph with a y axis of -1 to 14 and the x axis as -3 to 5. The equation of the curve is y = 3x.

y = x²

y = 2^x

y = 3^x

6

What is the equation of the circle with centre (0, 0) and radius 8 units?

y = 8x

x² + y² = 8

x² + y² = 64

7

Find the equation of the tangent to the circle x² + y² = 10 at the point (1, 3).

y = 3x + 10

y = \(\frac{1}{3}x + \frac{8}{3}\)

y = \(-\frac{1}{3}x + \frac{10}{3}\)

8

Where does the graph of y = (x + 2)² – 5 cross the y-axis?

-5

-2

-1

9

What is the turning point of the graph y = (x + 2)² – 5?

(2, -5)

(2, 5)

(-2, -5)

10

A quadratic graph passes through the points (2, 0) and (-3, 0). A possible equation for this graph is:

y = (x + 2)(x – 3)

y = (x + 2)(x + 3)

y = (x – 2)(x + 3)