Free Printable Vertex Form of a Quadratic

1.

Identify the correct graph for the following equation:

y=\ -\ \left(x+2\right)^2+3

a)

b)

c)

d)

2.

What is the vertex of the parabola?

f(x) = 3 (x + 5)² - 4,

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

3.

Does this parabola have a maximum or minimum value?

f(x)= - (x - 4)²- 3,

a)

Maximum

b)

Minimum

4.

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

-3

5.

Identify the vertex and whether the graph opens up or down.

$f\left(x\right)=\frac{1}{4}\left(x+5\right)^2+2$

a)

(5, 2); opens up

b)

(5, 2); opens down

c)

(-5, 2); opens up

d)

(-5, 2); opens down

6.

Identify the domain:

f\left(x\right)=\ -2\left(x+1\right)^2+5

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,5\right)$

c)

$\left(5,\infty\right)$

d)

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

7.

Identify the range:

f\left(x\right)=\ -2\left(x+1\right)^2+5

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,5\right)$

c)

$\left(5,\infty\right)$

d)

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

8.

Determine the interval in which this function is DECREASING.

a)

(-3, ∞)

b)

(-3, - ∞)

c)

(-∞, ∞)

d)

(-∞, -3)

9.

Determine the interval in which this function is INCREASING.

a)

( 3 , ∞ )

b)

(-3, ∞ )

c)

( ∞, -3 )

d)

(-∞, -3 )

10.

Write the equation of a quadratic that opens down and is translated left 3 units and up 4 units

a)

$f\left(x\right)=\ \left(x+3\right)^2+4$

b)

$f\left(x\right)=\ \left(x-3\right)^2+4$

c)

$f\left(x\right)=\ -\ \left(x+3\right)^2+4$

d)

$f\left(x\right)\ =\ -\ \left(x+3\right)^2-4$

11.

Which of the following equations matches vertex form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

12.

A parabola has a vertex at (1,6) and passes through (3,-18). Write the equation in vertex form.

a)

f(x) = 3(x - 1)²- 18

b)

f(x) = -6(x - 1)²+ 6

c)

f(x) = 6(x - 3)²- 18

d)

f(x) = -3(x + 1)²- 6

13.

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

a)

f(x) = 1/4(x - 4)² - 1

b)

f(x) = 4(x - 4)² - 1

c)

f(x) = 4(x + 4)² - 1

d)

f(x) = 1/4(x + 4)² - 1

Vertex Form of a Quadratic

Total questions: 13

Worksheet time: 12mins

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