Free Printable 2-1 Part 2: Writing Vertex Form

1.

Use the graph to determine the X-intercepts

a)

(-1,0) and (-3,0)

b)

(1,0) and (3,0)

c)

(0,1) and (0,3)

d)

(0,-1) and (0,-3)

2.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

3.

The vertex of the given quadratic function is at its minimum.

a)

True

b)

False

4.

Name the vertex to the given quadratic graph

a)

(2,3)

b)

(3,2)

c)

(0,-1)

d)

(4,-1)

5.

What is the range of this function?

a)

(- ∞,+∞)

b)

[0, +∞)

c)

[-2, +∞)

d)

[2, +∞)

6.

What is the decreasing interval on the function shown?

a)

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

b)

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

c)

$\left(2,\ \infty\right)$

d)

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

7.

Identify the y-intercept.

a)

(0,3)

b)

(3,0)

c)

(1,0)

d)

(2,-1)

8.

What is the equation for the parabola that has a vertex at (2, 5) and also goes through the point (4, 1)?

a)

$y=\left(x-2\right)^2+5$

b)

$y=-2\left(x-2\right)^2-5$

c)

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

d)

$y=-\left(x-2\right)^2+5$

9.

What is the equation for the parabola that has a vertex at (1, -2) and also goes through the point (-1, 4)?

a)

$y=-2\left(x-1\right)^2-2$

b)

$y=2\left(x-1\right)^2-2$

c)

$y=0.5\left(x+1\right)^2-2$

d)

$y=1.5\left(x-1\right)^2-2$

10.

Write the equation of the quadratic in vertex form given the following:
vertex: (4, -2)
point: (0,-6)
opens down

a)

f(x)=(x-4)²-2

b)

f(x)=-4(x-4)²-2

c)

f(x)=1/4(x+4)²-2

d)

f(x)=-1/4(x-4)²-2

11.

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

a)

b)

c)

d)

12.

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

a)

y = 6(x + 5)² + 9

b)

y = -6(x - 5)² + 9

c)

y = 6(x - 5)² + 9

d)

y = -6(x + 5)² + 9

13.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

14.

Is this a max or min?

a)

max

b)

min

c)

cannot be determined

15.

If the a value is positive, which direction does the graph open?

a)

up

b)

down

c)

left

d)

right

16.

If the a value is negative, which direction does the parabola open?

a)

up

b)

down

c)

left

d)

right

17.

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

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

18.

What is the vertex?

a)

(-1,-2)

b)

(-2,-1)

c)

(-3,-1)

d)

(2,1)

2-1 Part 2: Writing Vertex Form

Total questions: 18

Worksheet time: 58mins

Similar Resources on Wayground