Modeling with Quadratic Functions — Quiz Answers

The image of a parabolic lens is traced onto a graph. The function f of x is equal to 1 fourth open paren x plus 8 close paren open paren x minus 4 close paren represents the image. At which points does the image cross the x -axis?

The vertex of a quadratic function is 6 comma 2 , and the y -intercept of the function is 0 comma negative 70 The equation of the function in vertex form, f of x is equal to a times open paren x minus h close paren squared plus k , is shown. negative 70 is equal to a times open paren 0 minus 6 close paren squared plus 2 What is the value of A ?

Ja'Von kicks a soccer ball into the air. The function f of x is equal to negative 16 times open paren x minus 2 close paren squared plus 64 represents the height of the ball, in feet, as a function of time, x , in seconds. What is the maximum height the ball reaches?

The zeros of a parabola are negative 4 and 2 , and 6 comma 10 is a point on the graph. Which equation can be solved to determine the value of A in the equation of the parabola?

The zeros of a parabola are negative 5 and negative 3 The point 0 comma 60 is on the graph as represented by the equation. 60 is equal to a open paren 0 plus 5 close paren open paren 0 plus 3 close paren What is the value of A ?

The image of a parabolic lens is projected onto a graph. The image crosses the x -axis at negative 2 and 3 The point negative 1 comma 2 is also on the parabola. Which equation can be used to model the image of the lens?

A student draws two parabolas on graph paper. Both parabolas cross the x -axis at negative 4 comma 0 and 6 comma 0 The y -intercept of the first parabola is 0 comma negative 12 The y -intercept of the second parabola is 0 comma negative 24 What is the positive difference between the values of A for the two functions that describe the parabolas? Write your answer as a decimal rounded to the nearest tenth.

The minimum of a parabola is located at negative 1 comma negative 3 The point 0 comma 1 is also on the graph. Which equation can be solved to determine the a value in the function representing the parabola?