Features and Transformations of Parabolas

Which way does the graph move if the equation looks like y = (x - 3)² ?

• Graph moves UP 3 units
• Graph moves to the RIGHT 3 units
• Graph moves DOWN 3 units
• Graph moves to the LEFT 3 units

Tags

CCSS.HSF.BF.B.3

When you subtract a constant from y=x²  what happens to the graph? Eg  y = x² - 2

• Graph moves UP
• Graph moves to the RIGHT
• Graph moves DOWN
• Graph moves to the LEFT

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which way does the graph move if the equation looks like y = (x + 4)² ?

• Graph moves UP 4 units
• Graph moves to the RIGHT 4 units
• Graph moves DOWN 4 units
• Graph moves to the LEFT 4 units

Tags

CCSS.HSF.BF.B.3

What transformation occurred to y = x² to y = (x - 5)² - 3?

• The graph translated right 5 units and down 3 units
• The graph translated right 3 units and down 5 units
• The graph translated left 5 units and down 3 units
• The graph translated left 3 units and up 5 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Describe the horizontal shift for

y = 3(x + 4)² - 1

• shifts 3 left

• shifts 4 left

• shifts 4 right

• shifts 1 left

Tags

CCSS.HSF.BF.B.3

What happens to the parabola when you multiply its equation by a number bigger than 1?  Eg  y = 3x²

• Graph moves UP
• Graph gets WIDER
• Graph moves DOWN
• Graph gets NARROWER

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

When you add a constant to y=x²  what happens to the graph? (Eg  y = x² + 2)

• Graph moves UP
• Graph moves to the RIGHT
• Graph moves DOWN
• Graph moves to the LEFT

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

In vertex form, y= a(x-h)²+k, what effect does the k have on the graph?

• Translates vertically

• Translates horizontally

• Dilates (stretches)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

In vertex form, y= a(x-h)²+k, what effect does the a have on the graph?

• Translates vertically

• Translates horizontally

• Dilates (stretches)

Tags

CCSS.HSF.BF.B.3

Which equation will result in the parabola being a narrower graph?

• y = 2x² + 1

• y = 7x² - 1

• y = 0.5x² + 1

• y = x²

Tags

CCSS.HSF.BF.B.3