Free Printable Test Part 1- Vertex Form

1.

Graph $y=\left(x-3\right)^2-4$ .

You can drag one dot to the vertex and another to another point on the parabola.

2.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

3.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

4.

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

5.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

6.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

7.

What causes the graph of y = x² to open downward?

a)

multiply the x² by a fraction

b)

multiply the x² by a decimal

c)

multiply the x² by a negative number

d)

multiply the x² by a number greater than 1

8.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

9.

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

10.

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

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

11.

In the vertex form: $y=a\left(x-h\right)^2+k$ the (a) value tells you if the parabola opens up or down and also if it gets vertically stretched or vertically compressed.

Choose from the below words

a

h

k

x

y

12.

What does the k term tell you?

a)

up.

b)

down.

c)

up/down, y-value in the vertex

d)

nothing

13.

Which is a possible equation for the function?

a)

y = (x - 3)² + 18

b)

y = (x + 3)² + 18

c)

y = -(x - 3)² + 18

d)

y = -(x + 3)² + 18

14.

Identify the a, h, and k terms in the following equation: $\left(x+4\right)^2-3$

a)

a=-1, h=4, k=3

b)

a=-1, h=-4, k=3

c)

a=1, h=4, k=3

d)

a=1, h=-4, k=-3

15.

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

16.

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

a)

(5, 2); opens up

b)

(5, 2); opens down

c)

(-5, 2); opens up

d)

(-5, 2); opens down

17.

Which is a possible equation for the function?

a)

y = (x - 3)² + 18

b)

y = (x + 3)² + 18

c)

y = -(x - 3)² + 18

d)

y = -(x + 3)² + 18

18.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

19.

$f\left(x\right)=-\left(x-4\right)^2+1$

Choose the correct graph of the equation.

a)

b)

c)

d)

20.

Which equation matches the graphed above?

a)

$p\left(x\right)=\left(x-1\right)^2+4$

b)

$p\left(x\right)=\left(x-4\right)+1$

c)

$p\left(x\right)=-\left(x+1\right)^2-4$

d)

$p\left(x\right)=-\left(x+4\right)\ ^2-1$

21.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

22.

A parabola is upside-down when a is:

a)

negative

b)

positive

c)

0

d)

infinite

23.

What piece of information does h identify in the following equation?
y=a(x-h)²+k

a)

y value of the vertex

b)

Axis of Symmetry and the x coordinate of the vertex

c)

Direction (facing up or down)

d)

x-intercept

24.

What is the y-intercept of the graph?

a)

$\left(-1,-3\right)$

b)

$\left(0,-4\right)$

25.

Which way does the following equation open? $f\left(x\right)=-\frac{1}{2}\left(x-5\right)^2+6$

a)

upward

b)

downward

26.

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

a)

$x=-\frac{b}{2a}$

b)

$x=\frac{(-b\pm\sqrt{b^2-4ac})}{2a}$

c)

y = ax² + bx + c

d)

y = a(x - h)² + k

27.

In Vertex form, f(x) = a(x - h)²+ k, what does the h stand for?

a)

the y-coordinate of the vertex

b)

the x-coordinate of the vertex

c)

the x-intercept

d)

the y-intercept

28.

In Vertex form, f(x) = a(x - h)²+ k, what does the k stand for?

a)

the y-coordinate of the vertex

b)

the x-coordinate of the vertex

c)

the x-intercept

d)

the y-intercept

29.

To complete the square, factor a out of the first two terms:

$6x^2-3x+9=0$ becomes

$6\left(x^2-?\ x\right)+9=0$

(a)

30.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

31.

Fill in the blank: When we convert from standard to vertex form, the a value will ____________.

a)

Stay the same

b)

Be the same but negative

c)

Become the vertex

d)

Be squared

Test Part 1- Vertex Form

Total questions: 31

Worksheet time: 2hrs 45mins

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