Forms Quadratic Equations

Liam is trying to calculate the y-intercept of a parabolic path of a ball thrown by Arjun, which follows the equation f(x) = 2x²-2x + 1. Can you help him find the y-intercept?

• 2

• -2

• 1

• -1

What is the vertex of the following equation?
y=5(x-3)²+5

• (3,5)

• (-3,5)

• (3, -5)

• (-3,-5)

What is the vertex of the graph.  Is it a maximum or minimum?

• (-1, 9) minimum

• (1, -9) maximum

• (1, -9) minimum

• (-1, 9) maximum

David is trying to calculate the speed of his car which is represented by the equation y = 2x² - 5x + 10. Can you help Aria and Maya find out what the "b" term of this equation is?

• 10

• -5

• 2

• 0

Which Quadratic form is the best for finding the roots of a Quadratic equation? Explain your thinking.

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Answer explanation

Factored Form because the p and q values are the x-intercepts

You want to find the vertex of a Quadratic function. Which form is the most useful for finding the vertex? Explain your thinking.

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Answer explanation

Vertex form because the h and k values provide the values for the ordered pair.

Sophia is playing a video game where she needs to find a treasure hidden at a vertex of a parabolic path. The coordinates of the vertex are (-7,-1). Which quadratic form should she use to find the treasure?

• y = x² + 14x + 48

• y = (x + 7)² - 1

• y = (x + 6)(x + 8)

William, Maya, and Abigail are in a math competition. They are given a Quadratic equation and asked to find its roots without graphing it. Which Quadratic form should they use?

• y = (x - 1)² - 9

• y = x² - 2x - 8

• y = (x + 2)(x - 4)

Match the form of the quadratic to the key feature that it represents best

• vertex

• y-intercept

• x-intercept(s)