Application of Quadratic Function

What is the vertex for
f(x)=4(x-2)² + 3

• (-2, 3)

• (2,-3)

• (4,3)

• (2,3)

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4

• y = (x+3)² - 4

• y = (x-3)² + 4

• y = 2(x - 3)² + 4

An object flies through the air and follows a parabolic path. What does the y-axis represent? 

• time 

• height from the ground 

• horizontal distance 

• money 

Answer explanation

This is only one possible choice. As long as the y-intercept is less than 3 and the quadratic shows a maximum value for its vertex, it would be correct.

A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t² + 20t. How many feet into the air will the ball be at 3 seconds?

Mathematical Equivalence

OFF

Analyze the given graph and the determine the correct function.​ (a)   ​ (b)  

• x(x-2)

• x+(x-2)

• (x+4)(x+5)

• (x-0)

A function is shown. f(x) = x² - 6x -27.

Fill in the blanks below to make the statement true.

"The graph of f(x) has a minimum value of ​ (a)   and has zeros at ​ (b)   and ​ (c)   ​

• -27

• -36

• -33

• -42

• -9

• -3

• 0

• 3

• 9

• 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 

What is the initial (starting) height of an object following this path?  h(t) = -16t² +20t + 6

• -16 feet 

• 0 feet

• 20 feet 

• 6 feet 

If path of a projectile is modeled by: 
h(t) = -16t² + 20t +6, what is the height after 1 second? 

• 6 feet 

• 20 feet 

• 10 feet 

• 4 feet