Quadratic Solutions on a Graph, Table, Equation

Which function best models the data in the given table?

• y = -3x + 9

• y = 4x² - 3x + 1

• y = 5.2(.75)^x

• y = -3x² + 4x + 1

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

Which of the following describes the graph of f(x)= x² - 2x -15.

• The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)

• The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)

• The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)

• The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)

Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?

• f(x)= -(x-4)²+7

• f(x)= (x+4)²+7

• f(x)= -(x+4)²+7

• f(x)= (x-4)²+7

What is the solution set for the quadratic function? 

• {-1.4, 4.2}

• {-1.4}

• {4.2}

• {1.5}

How does the graph of g(x)=3x² compare to the quadratic parent function f(x)=x² ?

• The graph of g(x) is wider than the graph of f(x).

• The graph of g(x) is narrower than the graph of f(x).

• The graph of g(x) is translated up 3 units above f(x).

• The graph of g(x) is translated down 3 units below f(x).

What are the zeros for the quadratic function? 

• (-6, 0) and (14, 0)

• (-50, 0) and (14, 0)

• (-6, 0) and (-50, 0)

• (-50, 0) and (-60, 0)

What is the range for the function below? 

• y ≤ 4

• y ≥ 4

• All real numbers

• -3 ≤ y ≤ 1

A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t² + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down?

• 10 feet 

• 19 feet

• 13 feet

• 16 feet 

What are the linear factors of the function?

• (x+7) (x-9)

• (x-7) (x+9)

• (x+7)(x+9)

• (x-7)(x-9)