Solutions of Quadratics from a Graph

What is the axis of symmetry for the following equation?

y=4x²-8x+9

• x = 5

• x=1

• y = 1

• y = 5

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

• The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

• The ball was kicked from the ground and it was in the air for 4 seconds.

• The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.

• The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

Which of the following describes the graph of f(x)= x² - 2x -15.

• The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)

• The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)

• The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)

• The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)

Tags

CCSS.HSF-IF.C.7A

Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?

• f(x)= -(x-4)²+7

• f(x)= (x+4)²+7

• f(x)= -(x+4)²+7

• f(x)= (x-4)²+7

Which function best models the data in the given table?

• y = -3x + 9

• y = 4x² - 3x + 1

• y = 5.2(.75)^x

• y = -3x² + 4x + 1

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

What are the green dots called?

• axis of symmetry

• vertex

• parabola

• roots or x-intercepts

Tags

CCSS.HSF-IF.C.7A

What is the equation for the graph?

• y = (x-5)(x-3)

• y = - (x-5)(x-3)

• y = - (x+5)(x+3)

• y = - x²+8x+15

Tags

CCSS.HSF-IF.C.7A

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined