Graph of a Quadratic Function in Standard Form and Their Features

Identify the vertex.

• (5, 2)

• (5, -2)

• (-5, 2)

• (-5, -2)

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• 
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Which equation could be the equation of the graph?

• y = -(x-1)(x-3)

• y = (x+3)(x-1)

• y = 2(x+1)(x+3)

• y = -0.5(x+1)(x+3)

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)

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

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)

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

• y-intercept

• vertex

• x-intercept(s)

Mason, Kai, and William are playing a game of darts. If the dartboard is represented by a parabolic curve, and the vertex represents the highest possible score, which of the following coordinates would represent the vertex?

• (2, 4)

• (0, 8)

• (3, -1)

• (4, 2)

Ethan is trying to model the trajectory of a ball thrown in the air using the equation y = x² + 4x + 10. Oliver suggests rewriting the equation in vertex form. How should they rewrite it?

• y = (x + 4)² + 6

• y = (x + 4)² - 6

• y = (x + 2)² + 6

• y = (x + 2)² - 6