Midterm Review 1 Algebra 2

Given f(x) = x² - 6x + 11
Determine the values of h and k that make the expression
(x - h)² + k equivalent to the given expression. 

• h = -3, k = -2
• h = -3, k = 2
• h = 3, k = 2
• h = 3, k = -2

Find one value of x that is a solution to the given equation.

• X = -1/3
• X = 1/3
• X = 3
• X = -3

Which equation has non-real solutions?

• 3x² + 4 = -5x
• 3x² + 4 = -5(x-4)
• 3x² + 4x = 0
• 3x² - 4x - 4 = 0

What is the parent function?

• absolute value

• quadratic

• cubic

• linear

How did this graph transform?

• compressed by 1/2, right 2 units, down 3 units

• compressed by 1/2, left 2 units, down 3 units

• compressed by 1/2, right 3 units, down 2 units

• compressed by 1/2, right 2 units, up 3 units

What is the domain of this graph?

• $\left(-\infty,\ \infty\right)$

• $\left[3,\ \infty\right)$

• $\left[6,\ 2\right]$

• $\left(6,\ 2\right)$

What is the range of this graph?

• $\left(-\infty,\ \infty\right)$

•  $\left[-3,\ \infty\right)$ 

•  $\left[-3,\ \infty\right]$ 

• $\left(6,\ 2\right)$

What is the increasing interval?

• $\left(-\infty,\ \infty\right)$

• $\left(-\infty,\ -3\right)$

• $\left(-3,\ \infty\right)$

• $\left(-2,\ \infty\right)$

What is the decreasing interval?

•  $\left(-\infty,\ -3\right)$ 

•  $\left(-\infty,\ -2\right)$ 

• $\left(-3,\ \infty\right)$

•  $\left(-2,\ \infty\right)$ 

Which of the following is the parent function shown in the graph?

• reciprocal

• logarithmic

• exponential

• square root