Quadratic Functions STAAR Review

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1,46) and passes through the point (3, 10)?

• y = (x-3)² + 10

• y = 9(x-1)² + 46

• y = -9(x-3)² + 10

• y = -9(x-1)² + 46

Which function best represents h?

• h(x)=x² + 2x - 3

• h(x)=x² - 2x - 3

• h(x)=x² + 4x + 3

• h(x)=x² - 4x + 3

The solutions to p(x) = 0 are x = -7 and x = 7. Which quadratic function could represent p?

• p(x) = x² - 49

• p(x) = x² + 49

• p(x) = x² - 14

• p(x) = x² + 14

Which statement appears to be true for the graph of a quadratic function?

• The function has 3 zeros.

• The maximum value of the function is 3.

• The vertex of the graph of the function is (4,1).

• The equation of the axis of symmetry of the graph of the function is x = 1.

Which values best represent the zeros of the function?

• X= -3

• X=1

• X=3

• X=0

• X = -1

Which answer choice best represents the intercepts of the graph of r?

• x-intercept: (5, 0), y-intercepts: (0, 10) and (0, -2)

• x-intercepts: (0, -10) and (0, 2), y-intercept: (-5, 0)

• x-intercept: (0, 5), y-intercepts: (10, 0) and (-2, 0)

• x-intercepts: (-10, 0) and (2, 0), y-intercept: (0, -5)

Which statement about f(x) = 4x² - 36x + 81 is true?

• The zeros are .75 and -27 because f (x) = (4x - 3)(x-27).

• The zeros are -1.5 and 13.5 because f(x) = (2x + 3) (2x + 27).

• The zeros are -4.5 and 4.5 because f (x) = (2x - 9) (2x + 9).

• The only zero is 4.5 because f(x) = (2x-9)².

Given f(x)=x²- 36, which statement is true?

• The only zero, 6, can be found when 0 = (x-6)(x - 6).

• The only zero, 18, can be found when 0 = (x - 18)(x - 18).

• The zeros, -6 and 6, can be found when 0 = (x + 6)(x - 6).

• The zeros, -18 and 18, can be found when 0 = (x + 18)(x - 18).

Which graph best represents h(x) = (x+1)(x-3)

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The function f(x) = x² was transformed to create the function g(x) = f (x-3) - 9. What are the coordinates of the vertex of the graph of g?