Math 2 - 1st Semester Review (Unit 3 & 4)

What are the transformations from the parent function y = x²?

y=(x − 2)² + 4

• shift right 2 shift up 4

• shift left 2 shift down 4

• shift right 2 shift down 4

• shift left 2 shift up 4

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

• (-1, 4); opens up
• (-1, 4); opens down
• (1, 4); opens up
• (1, 4); opens down

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry for the quadratic function: f(x) = 3x² + 18x + 5

• x = −1/3

• x = −3

• x = 3

• x = −9

What is the axis of symmetry for the quadratic function: f(x) = −2x² − 16x + 15

• x = 8

• x = -16

• x = −4

• x = 4

Which direction does the graph open, and does it have a max or min?

f(x) = −3x² + 18x + 5

• upward, minimum

• upward, maximum

• downward, minimum

• downward, maximum

Tags

CCSS.HSF-IF.C.7A

Find the vertex of

f(x) = −x² − 4x + 12

• (−2, 16)

• (2, 0)

• (2, 4)

• (−2, 4)

What is the y-intercept?

f(x) = −2x² + 4x − 6

• (0, 6)

• (0, −6)

• (0, 4)

• (0, −2)

Tags

CCSS.HSF-IF.C.7A

Use the graph of the function to find the solution(s).

• x = −1

• x = 3

• x = −1 and x = 3

• x = 6

(x + 3)(x − 2)=0

• x = −2 and x = 3

• x = −3 and x = −2

• x = −3 and x = 2

• x = 3 and x = 2

Tags

CCSS.HSA-REI.B.4B