Creating Quadratic Function

A quadratic function that opens upwards has x-intercepts at x = 10 and x = -2. What could be the equation of this function?

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

A quadratic function that opens downwards has x-intercepts at x = 10 and x = -2. What could be the equation of this function?

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the equation of the quadratic function in the graph?

Tags

CCSS.HSF-IF.C.7A

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

The graph of a quadratic function is shown on the grid. Write an equation to represent the function.

Mathematical Equivalence

ON

A table of values for a quadratic function is shown.

Type the equation of the quadratic function in Standard Form.

y = ax² + bx + c

Mathematical Equivalence

ON

Label the following in the graph:

a

b

d

c

e

root/x-intercept left

root/x-intercept right

y-intercept

vertex

axis of symmetry (AOS)

Tags

CCSS.HSF-IF.C.7A

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

The graph of quadratic function f is shown on the grid.

f(x) = (x + 3)² − 5

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4