Quadratic Functions and Equations

Function p is in the form y=ax²+c. If the values of a and c are both less than 0, which graph could represent p?

• 
• 
• 
• 

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 graph of f(x) = x² is shown on the grid.

Which statement about the relationship between the graph of f and the graph of g(x) = 7x² is true?

• The graph of g is narrower than the graph of f.

• The graph of g is wider than the graph of f.

• The graph of g is 7 units below the graph of f.

• The graph of g is 7 units above the graph of f.

What are the solutions to 2(x−7)² = 32?

• x = 7±√32

• x = ±√65

• x = 3 and x = 11

• x = -1 and x = 15

The graph of quadratic function g is shown on the grid. The coordinates of the x-intercepts, the y-intercept, and the vertex are integers.

What is the maximum value of g?

• (9,2)

• (8,0)

• (-4,8)

• (2,9)

Which statement about f(x) = 2x²−3x−5 is true?

• The zeros are -5/2 and -1, because f(x) = (x+1)(2x+5).

• The zeros are -5/2 and 1, because f(x) = (x−1)(2x+5).

• The zeros are -1 and 5/2, because f(x) = (x+1)(2x−5)

• The zeros are 1 and 5/2, because f(x) = (x−1)(2x−5).

Quadratic functions q and w are graphed on the same coordinate grid. the vertex of the graph q is 18 units below the vertex of the graph 2. Which pair of functions could have been used to create the graph of q and w?

• q(x) = 18x² and w(x) = x²

• q(x) = x² + 18 and w(x) = x²

• q(x) = -18x² and w(x) = x²

• q(x) = x² - 18 and w(x) = x²

A graph of f(x) = 6x²-11x+3 is shown on the grid.

What are the zeros of f?

• 3

• 2 and 9

• 11/12

• 1/3 and 3/2

Which expression is a factor of x²-5x-6?

• x-6

• x-2

• x-3

• x-1

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

What is a solution to r(x) = 0?

• -50

• 4

• 14

• -60