Quadratics Unit Test

Factor completely
k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Determine the interval in which this function is INCREASING.

• (-4, ∞)

• (-3, ∞)

• (∞, -3)

• (-∞, -4)

Determine the interval in which this function is DECREASING.

• (-3, ∞)

• (-3, ∞)

• (-∞, -4)

• (-∞, -3)

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation h = -2t² + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

• 2

• 4

• 9

• 10

• 15

Solve the word problem:  How fast would you reach the water if you jump of a cliff using the formula:    h(t) = -16t² + 8t + 24?

• 8

• 1

• 1.5

• 1/4

A ball is thrown in the air. The height of the ball, y, at any given time, x, can be described by the equation y = -3x² +7x - 2. Which of the following describes this situation accurately?

• The ball goes upwards, reaching a maximum height

• The ball goes upwards, reaching a minimum height

• The ball goes downwards, reaching a maximum height

• The ball goes downwards, reaching a minimum height

What is the vertex of this parabola?

• (−1, 3)

• (−3, 11)

• (−2, 5)

• (0, 5)

Where is the axis of symmetry for this parabola?

• x = −1

• x = 0

• y = 3

• x = −3

When the vertex is the highest point on the graph, we call that a...

• Maximum

• Minimum

• x-intercept

• y-intercept

What's the axis of symmetry of y = 3x² - 6x + 4

• x=1

• x=-6

• x=2

• x=-1