Free Printable Sketching Quadratic Graphs

1.

Which equation is shown in the graph?

a)

y = (x + 2)

b)

y = (x - 2)

c)

y = (x + 2)²

d)

y = (x - 2)²

2.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

3.

Find the vertex of
f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

4.

What direction is the following equation opening?
y=-3x²-7x+8

a)

Up

b)

Down

c)

Left

d)

Right

5.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

6.

Which equation could match the graph?

a)

y = (x + 1)(x + 4)

b)

y = (x - 1)(x - 4)

c)

y = (x - 4)(x - 4)

d)

y = (x + 2.5)(x + 4)

7.

Which equation could match the graph?

a)

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

b)

y = (x - 2)(x - 3)

c)

y = (x + 2.5)(x + 6)

d)

y = (x - 2.5)(x - 6)

8.

Which equation could match the graph?

a)

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

b)

y = (x - 2)(x - 3)

c)

y = (x + 2.5)(x + 6)

d)

y = (x - 2.5)(x - 6)

9.

Which equation could match the graph?

a)

y = (x + 2)(x - 1)

b)

y = (x - 2)(x - 1)

c)

y = (x + 2)(x + 1)

d)

y = (x - 2)(x + 1)

10.

Which graph shows y = x² + 5x + 4 ?

a)

b)

c)

d)

11.

Which graph shows y = x² - 5x + 4 ?

a)

b)

c)

d)

12.

Which graph shows y = x² - 5x + 6 ?

a)

b)

c)

d)

13.

Which equation could match the graph?

a)

y = (x + 2)²- 1

b)

y = (x - 2)²- 1

c)

y = (x + 2)²+ 1

d)

y = (x - 2)²+ 1

14.

Which equation could match the graph?

a)

y = (x + 2)²- 1

b)

y = (x - 2)²- 1

c)

y = (x + 2)²+ 1

d)

y = (x - 2)²+ 1

15.

Which two equations match the graph?

a)

y = (x + 1)(x - 3)

b)

y = (x - 1)(x + 3)

c)

y = (x - 1)² - 4

d)

y = (x - 4)² + 1

16.

Given the equation: y = -(x - 4)²- 3,

does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

17.

What is the significance of the ordered pair (2, -4) to the graph?

a)

it is the vertex

b)

it is the y-intercept

c)

it is the axis of symmetry

d)

it is the x-intercept

18.

Find the axis of symmetry for
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

19.

What is the y intercept for the equation:
y = -8x² + 3x - 7

a)

(0, -8)

b)

(0, 3)

c)

(-8, -7)

d)

(0, -7)

20.

In the quadratic function $y\ =\ x^2\ -2x\ -3$

what is the coordinates of the vertex?

a)

$\left(-1,\ -2\right)$

b)

$\left(-2,\ 4\right)$

c)

$\left(1,\ -4\right)$

d)

$\left(3,\ -2\right)$

21.

What is the axis of symmetry of the function $y\ =\ -x^2\ +4x\ +5\ ?$

a)

x = 1

b)

x = - 5

c)

x = - 3

d)

x = 2

22.

Select the graph of

f\left(x\right)=x^2+2x+1

a)

b)

c)

d)

23.

What is the equation for this parabola in factored form?

a)

y=(x+2)(x-1)

b)

y=(x-2)(x+1)

c)

y=(x-2)(x-1)

d)

y=(x+2)(x+1)

24.

Which equation has a vertex of (-3, 4)?

a)

y = (x + 3)²+ 4

b)

y = (x + 3)² - 4

c)

y = (x - 3)² + 4

d)

y = (x - 3)² - 4

25.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

Sketching Quadratic Graphs - Part 2

Total questions: 25

Worksheet time: 49mins

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