Intercept and Vertex Form

What is the sum of the x-intercepts of the following function:

g(x) = (x - 7)(x - 4)

• -11

• -5.5

• 5.5

• 11

Tags

CCSS.HSF-IF.C.7A

Write an equation of this graph in intercept (factored) form.

• h(x) = (x - 1)(x + 3)

• h(x) = (x + 1)(x - 3)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

The axis of symmetry is a vertical line passing through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

What is a quadratic function in factored (intercept) form with x-intercepts of 5 and -2

• f(x) = x² + 3x -10

• f(x) = (x + 5)(x - 2)

• f(x) = (x - 5)(x + 2)

• f(x) = (x + 1.5)² - 12.25

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

Identify the vertex and whether the graph opens up or down. (a)  

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Mathematical Equivalence

OFF

A model rocket is launched from the ground and it's path is modeled by the function h(t) = -16t² + 96t. What are you solving for?

• x-intercept

• y -intercept

• vertex

• axis of symmetry

Write the equation of the quadratic in vertex form given the following:
vertex: (4, -2)
point: (0,-6)
opens down

• f(x)=(x-4)²-2

• f(x)=-4(x-4)²-2

• f(x)=1/4(x+4)²-2

• f(x)=-1/4(x-4)²-2