Algebra 2 Quadratics Review

x²-14x-51=0

• x= 17, -3

• x= -17, 3

• x= -17, -3

Use the quadratic formula to solve 2x² + 2x - 12?

• -2, 3

• 2, 3

• 2, -3

• -2, -3

Solve using the Quadratic Formula:

2x² + x - 4 = 0

• x = -¼ and x = -2

• x = 1.19 and x = -1.69

• x = 8 and x = -4

• x = 1.69 and x = 1.20

x²+4x-32=0

• x= -8, 4

• x= 8, -4

• x= -8, -4

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

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

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

If the blue graph is f(x) = x² then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

• 1

• 3

• 2

• 5

• 4