Solving Quadratic Equations: Quadratic Formula Assignment

Marcus solved for x in the quadratic equation x2 - 10x + 25 = 0. x = x = x = What is true about Marcus's work? Check all that apply.

1 3 4

Determine which functions have two real number zeros by calculating the discriminant, b2 - 4ac. Check all that apply.

1 3 4 6

What are the zeros of the function f(x) = x2 + 8x + 4, expressed in simplest radical form?

A

Where does f(x) = 3x2 - 11x - 4 intersect the x-axis? The negative x-intercept is at ( , 0). The positive x-intercept is at (

-1/3 4

Haley substituted the values of a, b, and c into the quadratic formula below. x = What was Haley's function in standard form?

7 -10 -2

What are the values of x in the equation 4x2 + 4x - 3 = 0?

A

An object is launched from the ground. The object's height, in feet, can be described by the quadratic function h(t) = 80t - 16t2, where t is the time, in seconds, since the object was launched. When will the object hit the ground after it is launched? Explain how you found your answer.

The object will hit the ground after 5 seconds. You can rewrite the quadratic function as a quadratic equation set equal to zero to find the zeros of the function 0 = -16t2 + 80t + 0. You can factor or use the quadratic formula to get t = 0 and t = 5. Therefore, it is on the ground at t = 0 (time of launch) and then hits the ground at t = 5 seconds.

Use the drop-down menus to complete the statements about the function p(x) = x(x - 1) + 1. The value of a is . The value of b is . The value of c is . The value of the discriminant is . The quadratic function will intersect the x-axis times.

1 -1 1 -3 0