Rewriting Quadratic Functions

Write the following in vertex form:

Rewrite in standard form:
y=(x-7)²

• y = x²-49

• y = x²+49

• y = x²-14x+49

• y = x²-14x-49

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

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7A

Rewrite in standard form g(x) = (x + 4)²

• g(x) = x² + 16

• g(x)=x² + 8x + 8

• g(x)=x² + 8x + 16

• g(x)=x² + 8x + 4

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

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

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.HSF-IF.C.7A