Quadratic Algebra

1.Given the following

quadratic equation:

y = 2x² − 12x + 19

• y = − 2(x − 3) ² − 1

• y = 2(x − 3) ² + 1

• y = 2(x + 3) ² + 1

• y = − 2(x + 3) ² − 1

Find the equation of the parabola given

a vertex of (1, -1) and the point (2, 3).

Using the standard form equation of the parabola, what is the value of ​c​?

• 3

• -3

• -2

• 2

​Given the following quadratic equation:

y = 2x² − 4x + 5

Convert from standard to

vertex form.

• y = 2(x + 1) ² + 3

• y = 2(x − 1) ² + 3

• y = 2(x − 3) ² + 1

• y = (x − 1) ² + 3

The height, in feet, of a soccer ball is modeled

by h(t)= − 49 t 2 + 39.2t where t is the time in

seconds after the ball is kicked.

How long is the ball in the air?

• 0

• 4/5

• 2

• 4

Which equation has an axis of symmetry at x= 3?

• y = x ² − 6x + 7

• y = x ² + 6x + 7

• y = 2x ² + 6x + 7

• y = 3x ² − 6x + 7

Determine the vertex

for the quadratic

y= 3(x + 4)² − 1

• (4,1)

• (-4,-1)

• (3,1)

• (-1,-4)

Find the axis of symmetry and coordinates of the vertex for the graph

y = 3x² + 6x + 7

• x = 4 vertex (4,1)

• x = 4 vertex (4,-1)

• x = 1 vertex (1,4)

• x = -1 vertex (-1,4)

Which function models the graph above:

• y = (x+4)² + 2

• y = (x+2)² + 4

• y = (x-4)² + 2

• y = (x-4)² - 2

Tags

CCSS.HSF-IF.C.7A

​​Describe the transformations for

f (x) = 2(x + 3)² + 1

• Vertical compression, left 3, up 1

• Vertical stretch, left 1, up 3

• Vertical stretch, left 3, up 1

• Vertical compression, right 3, up 1

​​A ball is kicked in a large field with an initial upward velocity of 80 feet per second.

The function h(t) = − 16t² + 100t

models the height of the ball

above the ground (in feet) ​t ​seconds after it’s kicked.

How long will it take for the ball to reach its

maximum height?

• 3 seconds

• 4 seconds

• 5 seconds

• 6 seconds