Quadratic Functions Unit Review

What are the x-intercepts of the function f(x) = -2x² -3x +20. Hint: Graph using a graphing calculator and look at where the parabola crosses the x-axis.

• (-4,0) and (5/2, 0)

• (-5/2,0) and (4,0)

• (-5,0) and (2,0)

Tags

CCSS.HSF-IF.C.7A

Look at the graph for the quadratic equation f(x) = -2(x+2)² -1 with no real zeros for solutions. What number can be added to the right side of the equation to change it to one real root? Hint: How far up does the parabola have to move to have one real root?

The functionf(x) = -(x+5)(x+1) is shown. What is the range of the function? Hint: What are the y values of the parabola?

• all real numbers less than or equal to 4

• all real numbers less than or equal to -3

• all real numbers greater than or equal to 4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which is the graph of f(x) = x² - 2x +3? Hint: Use a graphing calculator to graph f(x).

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Tags

CCSS.HSF-IF.C.7A

What are the zeroes of the graphed function y = 1/3(x+3)(x+5)? Hint: Where does the parabola cross the x-axis?

• -5 and -3

• 5 and 3

• -8 and 5

Tags

CCSS.HSA.APR.B.3

Which graph represents the function f(x) = -x² + 5? Hint: Graph the function on a graphing calculator

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Tags

CCSS.HSF-IF.C.7A

Given the function f(x) = -5x² - x + 20, find f(3).

• -28

• -13

• 62

Tags

CCSS.HSF.IF.A.2

According to one companies profit model, the company has a profit of 0 when 10 units are sold and a maximum profit of $18,050 when 105 units are sold. Which function represents the situation described? Hint: f(x) = a(x-h)² + k

• f(x) = -2(x + 105)² + 18,050

• f(x) = -2(x - 105)² + 18,050

• f(x) = -10(x + 105)² + 18,050

Which function has an axis of symmetry of x = -2?

• f(x) = (x + 1)² - 2

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

Which point is an x-intercept of the quadratic function f(x) = (x - 8) (x + 9)?

• ( 0, -8 )

• ( 9, 0 )

• ( -9, 0 )

Tags

CCSS.HSF-IF.C.7A