Algebra EOC RC 4

A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box.

What is the domain of the function for this situation?

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What are the domain and range of the following

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What is the range of y = -x² - 2x + 3?

• x ≤ 4

• x ≥ -4

• y ≤ 4

• y ≥ -4

Which function is equivalent to y = 3(x + 2)² + 7?

• y = 3x² + 12x + 33

• y = 3x² + 12x + 19

• y = 3x² + 19

• y = 3x² + 33

The graph of a quadratic function is shown on the grid.

Which function is best represented by this graph?

• h(x) = x² − 3x − 9

• h(x) = x² + 3x − 9

• h(x) = x² − 6x

• h(x) = x² + 6x

Which graph best represents y = −x² + 6x − 1?

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The graph of quadratic function k is shown on the grid.

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 statement about g(x) = x² − 576 is true?

• The zeros, -288 and 288, can be found when 0 = (x + 288)(x − 288).

• The only zero, 288, can be found when 0 = (x − 288)².

• The zeros, -24 and 24, can be found when 0 = (x + 24)(x − 24).

• The only zero, 24, can be found when 0 = (x − 24)².

The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) − 5. Which graph best represents g?

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The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) − 9. Which statement about the graphs is true?

• The graph of g is a reflection of the graph of f across the x-axis.

• The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.

• The graph of g is a reflection of the graph of f across the y-axis.

• The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.