Quadratics Review PHS

What are the factors of the expression x²-8x+7

• (x+7)(x+1)

• (x+3)(x+4)

• (x-7)(x-1)

• (x-3)(x-4)

Which of the following expressions below shows the complete factorization of the quadratic expression 3x³+15x²-18x

• (3x²-3x)(x+6)

• 3x(x²+5x-6)

• 3x(x+6)((x-1)

• 3(x³+5x²-6)

Find the solutions to the following equation:  $x^2-3x-1$  

•  $3\pm\sqrt{13}$  

•  $\frac{3\pm\sqrt{13}}{2}$  

•  $-3\pm\sqrt{13}$  

•  $\frac{-3\pm\sqrt{13}}{2}$  

Find the zeros of the equation x²-64 = 0

• x = 8

• x = 32

• x = -8 and x = 8

• x = -32 and x = 32

Given the function f(x) = x²-6x+3, find f(3)

• f(3) = -6

• f(3) = -12

• f(3) = 3

• f(3) = 30

How would you shift the parent function y = x² to graph the function y = (x+3)²-7

• The parent function would be shifted 3 units to the right and 7 units down.

• The parent function would be shifted 3 units to the left and 7 units down.

• The parent function would be shifted 7 units to the left and 3 units down.

• The parent function would be shifted 7 units to the right and 3 units down.

The parent function f(x) = x2 is reflected across the x-axis, vertically stretched by a factor of 5 and translated right 7 units to create g(x).

Use the description to write the quadratic function in vertex form.

•  $g\left(x\right)\ =\ 5\left(x+7\right)^2$  

•  $g\left(x\right)\ =\ 5\left(x-7\right)^2$  

•  $g\left(x\right)\ =\ -5\left(x-7\right)^2$  

•  $g\left(x\right)\ =\ -5\left(x+7\right)^2$  

Describe the vertex of the function f(x) = x²-8x+2

• Maximum at y = 4

• Minimum at y = 4

• Maximum at y = -14

• Minimum at y = -14

What of the following is an equivalent expression x²+8x+8?

• (x+4)² - 8

• (x-4)² - 8

• (x+8)² - 4

• (x-8)² - 4

Which of following functions has a line of symmetry of x=6?

• f(x) = (x-6)² + 2

• f(x) = (x+6)² - 2

• f(x) = (x-2)² + 6

• f(x) = (x+6)² - 2