Quadratic Function Quiz

Which of the following is NOT a quadratic function?

• f(x) = x²

• f(x) = x² + 4x -3

• f(x) = 2x +3

• f(x) = 5 (x-4)² - 3

Scenario: A soccer ball was kicked up in the air 3 meters with a velocity of 15 meters per second. The height h (in meters) of the soccer ball after t seconds can be modeled by the quadratic function:

h(t) = -5t² + 15t + 3

Question: What is the maximum height reached by the ball? SHOW ALL WORK

Consider the equation 2x² - 4x - 6. Choose the most appropriate method to solve this equation and solve it for x. Then, explain why you chose the method.

Tags

CCSS.HSA-REI.B.4B

Solve the quadratic equation x² - 5x + 6 = 0 using the factoring method. SHOW ALL WORK

Tags

CCSS.HSA-REI.B.4B

Solve the quadratic equation by x² + 6x + 5 = 0 by completing the square. Which of the following are the solutions?

• x = -1

• x = -3

• x = -5

• x = 1

Tags

CCSS.HSA-REI.B.4B

Solve the quadratic equation 3x² - 2x - 8 = 0 using the quadratic formula. Which of the following solutions are correct?

• x = 5

• x = 2

• x = - 4/3

• x = -1/2

Tags

CCSS.HSA-REI.B.4B

The __________ can be defined as the part in the parabola that defines the parabola into two symmetrical parts.

What equation is used to find the vertex?

• x = b² - 4ac/ 2a

• x = a(x)² + b(x) + c

• y = m(x) + b

• y = a(x − h)² + k

Explain how you would find the discriminant of the quadratic equation 3x² + 5x -2.

Tags

CCSS.HSA-REI.B.4B

Graph the following quadratic equation y = x² - 4x + 3 and draw a parabola. Write out your solutions, y-intercept, and axis of symmetry.

Tags

CCSS.HSF-IF.C.7A