Unit 9 Review Practice

Solve for x: 5^{-3x - 1} = 25

• x = -1

• x = -4

• x = -3

• x = 1

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Identify which functions are exponential. (Check all that apply)

• f(x) = 2x - 5

• g(x) = 3^x

• k(x) = 3x⁴ - 6x + 9

Which equation corresponds to the graph below.

• $k\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x+4$

• $f\left(x\right)=3\cdot2^x+4$

• $f\left(x\right)=3\cdot2^x-4$

• $m\left(x\right)=3\left(\frac{1}{2}\right)^2-4$

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same
• flip, up 3, left 6

• flip, right 3, down 6

• flip, left 3, down 6

Which equation represents the graph?

Define X-intercept

• The highest or lowest point on the graph

• Where the parabola touches or intersects the x-axis

• Where the parabola touches or intersects the y-axis

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

What are the x-intercepts for y = x² + 4x + 3

*Type into Desmos!!

• -1 and -3

• 1 and 4

• 4 and 3

Which of the following equations matches vertex form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

What is the vertex of the quadratic function:

f(x) = x² - 6x + 11

Hint: Use Desmos

• (3,2)

• (-3,-2)

• (-3,2)

• (3,-2)