Chapter 3 Linear and Quadratic Functions

Which function INCREASES at a greater rate? Explain your reasoning.

• Slope of Linear Function 1 is 2.

  Slope of Linear Function 2 is 2.5.

  Linear Function 2 is increasing at a greater rate.

• Slope of Linear Function 1 is 2.

  Slope of Linear Function 2 is 2.5.

  Linear Function 1 is increasing at a greater rate.

• Slope of Linear Function 1 is -2.

  Slope of Linear Function 2 is -2.5.

  Linear Function 2 is increasing at a greater rate.

• Slope of Linear Function 1 is -2.

  Slope of Linear Function 2 is -2.5.

  Linear Function 1 is increasing at a greater rate.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The parent function f(x) = x² is vertically stretched by a factor of 2 and translated right 6 units, followed by a translation down 2 units. What is the transformed function g(x)?

• g(x) = 2(x - 6)² + 2

• g(x) = 2(x + 6)² + 2

• g(x) = 2(x - 6)² - 2

• g(x) = 2(x + 6)² - 2

Given the function f(x) = x² - 8x + 6 and that h = -b/(2a) finds the x-value of the axis of symmetry, what is the equation of the axis of symmetry?

• x = -4

• x = 4

• y = -4

• y = 4

What is the equation of the function in intercept form?

• y = (x + 1)(x - 3)

• y = (x - 1)(x + 3)

• y = (x - 4)² + 1

• y = (x - 1)² - 4

Tags

CCSS.HSF-IF.C.7A

What is the equation of the function in vertex form?

• y = (x + 1)(x - 3)

• y = (x - 1)(x + 3)

• y = (x - 4)² + 1

• y = (x - 1)² - 4

Use desmos or graphing calculator to determine the price and maximum profit for 1 hour of tutoring given the function P(x) = -0.18x ²+ 8.32x + 26.58.

• Price = $23.11, Profit = $122.73

• Price = $26.58, Profit = $173.28

• Price = $28.32, Profit = $206.81

• Price = $32.18, Profit = $212.37

Given the function f(x) = -(x - 3)² + 5, which of the following is a point on the parabola?

• 3, -5

• -3, -5

• -3, 5

• 3, 5

Tags

CCSS.HSF-IF.C.7A

Given the function f(x) = x² - 5x + 6, which of the following is a point on the parabola?

• 0, 6

• 0, -5

• -5, 6

• 5, 0

Tags

CCSS.HSF-IF.C.7A

Which of the following is a point on the parabola at (3, -8) and an axis of symmetry at x = 1?

• 5, -8

• 1, -8

• -1, -8

• -3, -8

Tags

CCSS.HSF-IF.C.7A

Given the function f(x) = 2(x - 4)(x + 8) which of the following is NOT a point on the parabola?

• 4, 0

• 2, -64

• -8, 0

• 2, -40

Tags

CCSS.HSF-IF.C.7A