Unit 8 Test Review Part 1

Unit 8 Test Review

Part 1

Multiple Choice

How can you tell whether a parabola is facing up or facing down by looking at the equation?

• The vertex tells you the direction of the opening

• The value of "a" tells you the direction of the opening.

• All parabolas open upward

• All parabolas open downward

Multiple Choice

Does the equation open up or down?

Y = -3x² +7x - 2

• up

• down

• Neither; it opens to the right.

• Neither; it opens to the left.

Multiple Choice

What is the vertex?

• (2, 4)

• (3, -1)

• (0, 8)

• (4, 2)

Multiple Choice

Does this graph have a maximum or minimum?

• Minimum

• Maximum

Multiple Choice

Where is the axis of symmetry for this parabola?

• x = −1

• x = 0

• y = 3

• x = −3

Multiple Choice

Find the axis of symmetry for

f(x) = x²- 8x + 15.

• x = -4

• x = 4

• y = 4

• y = -4

Multiple Choice

Find the vertex of the quadratic:

y = -2x² + 4x + 3

• (0, 3)

• (-1, 5)

• (1, 5)

• (1, -5)

Multiple Choice

Graph

 $y=-2x^2+12x-20$  

• A

• B

• C

• D

Multiple Choice

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

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Multiple Choice

What is the equation of this graph?

• $f(x)=(x-5)^2+1$

• $f(x)=(x-1)^2-5$

• $f(x)=(x+1)^2-5$

• $f(x)=(x+4)^2+6$

Multiple Choice

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Multiple Choice

Given f(x) = (x + 3)² , how did we transform from the parent function?

• Horizontal shift left 3

• Vertical shift up 3

• Horizontal shift right 3

• Vertical shift down 3

Multiple Choice

 $y=5\left(x+1\right)^2+6$  

Which transformation below describes the 6 in the equation?

• Stretch

• Shift Up

• Shift Right

• Shift Left

• Shift Down

Multiple Choice

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

Multiple Choice

Determine how many solutions:

• One Solution

• Two Solutions

• No Solutions

• Infinitely Many Solutions

Multiple Choice

How many zeros does this parabola have?

• 3

• 2

• 0

• 1

Multiple Choice

What are the zeros of the parabola?

• 1, 5

• 3, -5

• 3, 0

• -6, 1

Multiple Choice

What is the discriminant of this graph?

• Positive

• Zero

• Negative

Multiple Choice

A function has a discriminant of 25.

______________

How many solutions does it have?

• 0

• 1

• 2

• 5

Multiple Choice

What is the discriminant of 6x² − 2x − 3 = 0

• 76

• 29

• 68

• none of these