Characteristics of Quadratic Equations

Identify the vertex of the parabola. 

• (4,-1)

• (-1,4)

• (0,5)

• None

How can you tell whether a parabola is facing up or facing down by looking at the equation?

• The vertex tells you the direction of the opening

• The value of "a" tells you the direction of the opening.

• All parabolas open upward

• All parabolas open downward

Tags

CCSS.HSF-IF.C.7A

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

Which of the following is the correct equation for the given graph?

• f(x) = -(x + 2)² - 4

• f(x) = -(x - 2)² - 4

• f(x) = -3(x - 2)² - 4

• f(x) = -3(x + 2)² - 4

Tags

CCSS.HSF-IF.C.7A

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Tags

CCSS.HSF-IF.C.7A

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h = -5t² + 45 
When is the ball at ground level?

• only at t = 0 seconds 

• only at t = 3 seconds

• only at t = 9 seconds

• at both t = 0 seconds and t = 3 seconds

What is the green dot on the parabola called?

• maximum

• minumum

• roots

• zeros

Tags

CCSS.HSF-IF.C.7A

What does the maximum of the graph represent?

• The profit when there is no decrease in price.

• The maximum decrease in price possible.

• The maximum profit that can be earned.

• The price per shirt.