Geometric Problems Quadratic Function

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.

For which interval is the ball's height always decreasing?

The height, y, of a ball tossed into the air can be represented by the equation

y = −x² + 10x + 3, where x is the elapsed time. What is the equation of the axis of symmetry of this parabola?

• y = 5

• y = -5

• x = 5

• x = -5

Tags

CCSS.HSF-IF.C.7A

Does this graph in the back have maximum or minimum value?

• maximum

• minimum

• neither

• both

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

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

• x(x-2)

• x+(x-2)

• (x+4)(x+5)

• (x-0)

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 equation best represents the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

Solve using the quadratic formula

•  

•  

•  

•  

Tags

CCSS.HSA-REI.B.4B

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

The solutions of a quadratic equation are known as the _____.

• Vertices

• Roots

• Squares

• Formulas