Solving Quadratics

What is the domain of the function for this situation?

• 0 ≤ x ≤ 230

• 6 ≤ y ≤ 36

• 0 ≤ y ≤ 36

• 6 ≤ x ≤ 230

Which function is equivalent to g (x) = x² + 15x − 54

• g(x) = (x + 9)(x − 6)

• g(x ) = (x + 18)(x − 3)

• g(x) = (x − 9)(x + 6)

• g(x) = (x − 18)(x + 3)

Which graph best represents y = −x² + 6x − 1? Reminder: Use desmos

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Which expression is equivalent to 24x² − 22x + 5?

• (12x + 5)(2x + 1)

• (8x − 5)(3x − 1)

• (12x − 5)(2x − 1)

• (8x + 5)(3x + 1)

Which value of x is a solution to this equation? 5x² - 36x + 36 = 0

• x = −6

• x = 4

• x = −1.8

• x = 1.2

Which statements are best supported by the graph of k?

I. The x-intercept is located at (-3,0). II. The coordinates of the y-intercept are (0, 9). III.The axis of symmetry is x= -3.

• I and II only

• I and III only

• II and III only

• I, II, and III

Which coordinates best represent the vertex of the graph?

• (2.4, 0)

• (0, -1)

• (-0.4, 0)

• (1, -2)

which of these best represents the domain of f?

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• All real numbers

• y > 5.5

• All real numbers less than -3 or greater than 2

Which statement about k(x) = -x²-2x+15 is true?

• The zeros are -3 and 5, because k(x) = -(x+3)(x-5).

• The zeros are -5 and 3, because k(x) = -(x+5)(x-3).

• The zeros are -5 and -3, because k(x) = -(x+5)(x+3).

• The zeros are 3 and 5, because k(x) = -(x-3)(x-5).

The area of a rectangular trampoline is 112ft². The length of the trampoline is 6ft greater than the width of the trampoline. This situation can be represented by the equation w² +6w -112 = 0. What is the width of the trampoline in feet?

• 7 ft

• 16 ft

• 8 ft

• 14 ft