Review Quadratics for Final Exam

Which of the following is the range?

• All Real Numbers

• $\left(-\infty,4\right]$

• $\left[-4,\infty\right)$

• $\left(-\infty,-1\right]$

Identify the y-intercept of the following function:
 $y=\ x^2-2x-3$  

• (0, -2)

• (0, -3)

• (-2, 0)

• (-3, 0)

Tags

CCSS.HSF-IF.C.7A

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Which of the following is the correct equation in VERTEX form of 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

If the graph of the quadratic parent function $y=x^2$ is translated 5 units to the right and 6 units down, which of the following equations describes the translated graph?

•  $y=\left(x-5\right)^2-6$  

•  $y=\left(x+5\right)^2+6$  

•  $y=\left(x+6\right)^2-5$  

•  $y=\left(x+6\right)^2+5$  

If the quadratic parent function, f(x)=x², becomes g(x)= -3x², what transformation(s) ocurred?

• shift left 3 units

• reflect across x-axis and vertical stretch

• shift down 3 units and vertical compression

• vertical compression

Does f(x) have a maximum or a minimum value? $f\left(x\right)=x^2+8x+15$  

• maximum value is -1

• minimum value is -1

• maximum value is -4

• maximum value is -4

Rewrite the equation i standard form:
 $g\left(x\right)=-2\left(x-6\right)^2+5$  

•  $g\left(x\right)=-2x^2+24x\ -67$  

•  $g\left(x\right)=-2x^2+24x\ -82$  

•  $g\left(x\right)=-2x^2-67$  

•  $g\left(x\right)=x^2-12x\ +41$  

Simplify. Express Answers in simplest Radical form.

• A

• B

• C

• D

Solve by taking the square root s.

• A

• B

• C

• D