Interpreting Quadratic Functions

Which statement best describes the graph below?

• The ball was dropped from a height of 18 feet and then reached a maximum height of 20 feet before reaching the ground.

• The ball was thrown from the ground and then reached a height of 18 feet before landing again in just under 2 seconds.

• The ball was dropped from a height of 18 feet and then descended for just under 2 seconds before it hit the ground.

• The ball was thrown from a height of 2 feet and then descended for 18 seconds before hitting the ground.

What is the standard form of a quadratic function?

• y=mx+b

• ax+by=c

• y=ax²+bx+c

• y=(x+a)(x-b)

Suppose a parabola has vertex (1,-4) and also passes through the point (2,-1). Write the equation of the parabola in vertex form.

• y = (x - 1)² - 4

• y = 3(x - 1)² + 4

• y = 3(x - 1)² - 4

• y = 3(x + 1)² - 4

How do you convert y = 2x² - 5x + 10 to vertex form?

• Factor

• (p+q)/2

• Complete the square

• Quadratic Formula

Write the following quadratic expression in vertex form
f(x) = x² + 10x + 21

Using the following 2 points, write an equation of the parabola by finding a first. 

• y=2(x+3)²-1

• y=2(x-1)²-3

• y=0.5(x+3)²-1

• y=0.5(x-1)²-3

Write the equation for the parabola shown in the graph. Write your answer in vertex form.

Which function’s graph has a vertex at (3, 5) and contains the point (5, 13)?

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Find the equation of a parabola with vertex at (-2, -8) and passes through point (-7, -6).

• y = ²/₂₅(x + 2)² - 8

• y = ²/₈₁(x - 2)² - 8

• y = -²/₂₅(x + 7)² - 6

• y = -²/₈₁(x - 7)² - 6

A quadratic function has a vertex of (1, 2) and passes through the point (0, 6). Which of the following equations could you use to solve for a in the form f(x)=a(x-h)^2+k