Quadratic Algebra

Does the equation open or or down? 
Y = -3x² +7x - 2

• up

• down

Tags

CCSS.HSF-IF.C.7A

What is the maximum value of the quadratic graph shown?

• 8

• 6

• -2

• 2

Tags

CCSS.HSF-IF.C.7A

A ball was projected from a height (in feet) and it followed the parabola path above. (click to enlarge the picture).

a) What is the maximum (highest) height of the ball? ​ (a)  

b) How long did it take the ball to reach the maximum? ​ (b)  

c) How high was the ball when it was thrown? ​ (c)  

• Exactly 12 feet

• 12.5 feet

• 4 seconds

• 5 second

• 6 feet

• 4.5 feet

Answer the questions regarding the graph.
What does the graph have? ​ (a)  

• minimum

• maximum

Tags

CCSS.HSF-IF.C.7A

For which interval is the height of the ball always decreasing? 

• 0≦x≦2.5

• 0<x<5.5

• 2.5<x<5.5

• x≧2

• 1

• 3

• 2

• 5

• 4

The graph of quadratic function k is shown on the grid.
Which statements are best supported by the graph of k?
I. The x-intercept is located at (-3,0). II. The coordinates of the y-intercept are (0,9) III. The axis of symmetry is x = -3

• I and II only

• I and III only

• II and III only

• I, II, and III

Tags

CCSS.HSF-IF.C.7A

For the given graph.

x-intercepts are: x = ​ (a)  

y intercept is: y =​ (b)  

Concave = ​ (c)  

Vertex = ​ (d)  

• (2, -1)

• -3, -1

• 0

• -3

• Concave down

• Concave up

• (-2, 1)

Tags

CCSS.HSF-IF.C.7A

A mathematician used data of the average gas mileage in new vehicles in Rome for the years 2012 to 2022 to create a quadratic function that models the data, where x is the number of years since 2012 and y is average gas mileage in miles per gallon. Some of the values are shown in the table. During what years was the average gas mileage decreasing?​ ​ (a)   <x<​ (b)  

• 2016

• 2022

• 2026

• 0

• 16

• 2021

• 9

• 10

• A

• B

• C

• D