Patterns for Quadratics

The pattern in the image models a quadratic relationship. How many square will there be at stage 4?

• 9

• 15

• 12

• 11

The pattern in the image models a quadratic relationship. How many stars will there be at Stage 5?

• 125

• 73

• 30

• 213

Write the given equation in vertex form:

y=x²+6x-2

• y=(x+3)²+7

• y=(x+3)²-11

• y=(x+6)²-2

• y=(x-3)²-38

Write the given equation in vertex form:

y=x²+10x-5

• y=(x+10)²-105

• y=(x+5)²+25

• y=(x+5)²+20

• y=(x+5)²-30

Write the given equation in vertex form:

y=x²+12x-5

• y=(x+6)²-31

• y=(x+6)²-41

• y=(x+12)^2-5

• y=(x-6)²-31

Write the given equation in vertex form:

y=x²-14x+2

• y=(x+7)²-47

• y=(x-7)²-51

• y=(x-14)²+2

• y=(x-7)²-47

Write the given equation in vertex form:

y=x²+16x+100

• y=(x+8)²+36

• y=(x+8)²-36

• y=(x-8)²+164

• y=(x+8)²

Write the given equation in vertex form:

y=x²-10x+10

• y=(x-10)²+10

• y=(x+5)²+35

• y=(x-5)²+15

• y=(x-5)²-15

What is the vertex of the graph of...

y=x²+2x+1

• (1,0)

• (-1,0)

• (2,1)

• (-2,1)

What is the vertex of the graph of...

y=x²+8x+10

• (-4,-6)

• (4,-6)

• (8,10)

• (-4,26)