Ch 10 - Transformations of Parabolas

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

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

What happens to the parabola when you multiply its equation by a number less than 1?  (Ex:  y = 0.5x²)

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

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

When you subtract a constant from y=x²  what happens to the graph? (Ex:  y = x² - 2)

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

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

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

State the turning point (vertex) for the equation:
y = -(x + 1)² + 4

• (1, -4)
• (-1, 4)
• (-4, 1)
• (4, -1)

State the turning point (vertex) for the equation:
y = 2(x + 4)² + 3

• (-4, -3)
• (-8, 6)
• (-4, 3)
• (4, 3)

What is the turning point (vertex) of this graph?

• x=2
• y=-3
• (2, 1)
• y=1

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

• Translates vertically
• Translates horizontally
• Dilates (stretches)