Effect of A on Quadratic Graph

Which quadratic is the narrowest graph?

• y = 3x²

• y = 4x²

• y = 2x²

In vertex form, what effect does the a have on the graph?

• Translates Up/Down

• Translates Left/Right

• Narrows/Widens Parabola

• Flips it

• A
• B
• C

• A
• B
• C

If we have the equation here, can we graph and match?

(a)  

• F

• G

• H

• J

How would you describe the translation from f(x)=x²  to  f(x)=x²+5 ?

• Horizontal translation: five units to the right

• Horizontal translation: five units to the left

• Vertical translation: five units up

• Vertical translation: five units down

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

• y=(x-2)²+3
• y=(x-2)²-3
• y=(x+2)²+3
• y=(x+2)²-3

• y=(x-4)²+1
• y=(x-4)²-1
• y=(x+4)²+1
• y=(x+4)²-1

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

• Translates vertically

• Translates horizontally

• Dilates (stretches)