Cat. 4 Quickstart 4.1

What is the range of the function f(x) = -x² + 60x?

• All real numbers that are greater than or equal to 0 and less than or equal to 30

• All real numbers that are greater than or equal to 0 and less than or equal to 60

• All real numbers that are greater than or equal to 900

• All real numbers that are less than or equal to 900

A part of quadratic function g is graphed on the grid.

What is the domain of the part of the function shown?

• All real numbers greater than or equal to -4 and less than or equal to 5

• All real numbers greater than or equal to -1 and less than or equal to 3

• All real numbers greater than or equal to -6 and less than or equal to 6

• All real numbers greater than or equal to -2 and less than or equal to 3

• The domain of the function is x ≥ 2.

• The range of the function is n(x) ≥ -8.

• The domain of the function is x ≥ 0.

• The range of the function is n(x) ≤ 12.

Which graph best represents part of a quadratic function with a domain of all real numbers less than -4?

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The table shows some ordered pairs that

belong to quadratic function h.

What is the range of h?

• All real numbers

• All real numbers greater than or equal to -7

• All real numbers greater than or equal to -8

• All real numbers greater than or equal to 0

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

Which statement appears to be true?

• 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.

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

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

• x-intercept: (5, 0)

  y-intercepts:(0, 10)(0, -2)

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

• x-intercept: (0, 5)

  y-intercepts:(10, 0)(-2, 0)

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

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

The quadratic function f(x) = x² is transformed to

create g as shown in the graph.

What is the equation for g?

• g(x) = f(x + 3) - 2

• g(x) = 2f(x + 3) - 2

• g(x) = f(x - 3) + 2

• g(x) = 2f(x - 3) + 2

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?

​ (a)   ​ (b)   ​ ​ ​

• -9
• -3
• 3
• 9
• 0