Matching Functions to Graphs

Which equation matches this graph?

• f(x) = a(x - h)² + k
• f(x) = a(x - h)³ + k
• f(x) = 2^a(x-h) + k
• f(x) = a |x-h| + k

Which equation matches this graph?

• f(x) = a(x - h)² + k
• f(x) = a(x - h)³ + k
• f(x) = a|x - h| + k
• f(x) = 2^{a(x - h)} + k

Which equation matches this graph?

• f(x) = a(x - h)² + k
• f(x) = a(x - h)³ + k
• f(x) = a√x-h + k
• f(x) = a/(x-h) + k

Which equation matches this graph?

• f(x) = a(x-h)³ + k
• f(x) = a(x - h)² + k
• f(x) = 2^a(x-h) + k
• f(x) = a|x - h| + k

Which equation matches this graph?

• f(x) = a/(x - h)² + k
• f(x) = a|x - h| + k
• f(x) = a(x - h)² + k
• f(x) = 2^{a(x - h)} + k

Which equation matches this graph?

• f(x) = a(x - h)² + k
• f(x) = a(x-h)³ + k
• f(x) = 2^{a(x - h)} + k
• f(x) = a/(x-h)² + k

In the function
f(x) = a(x - h)² + k,
what happens when you change the "a"?

• The image moves along the x-axis
• The image moves along the y-axis
• The image gets fatter or skinnier
• The image "flips"

In the function
f(x) = a(x - h)² + k,
what happens when you change the "h"?

• The image moves along the x-axis
• The image moves along the y-axis
• The image gets fatter or skinnier
• The image "flips"

In the function
f(x) = a(x - h)² + k,
What happens when you change the "k"?

• The image moves along the x-axis
• The image moves along the y-axis
• The image gets fatter or skinnier
• The image "flips"

In the function 
f(x) = a(x - h)² + k,
what happens when you change the "a" from positive to negative?

• The image moves along the x-axis
• The image moves along the y-axis
• The image gets fatter or skinnier
• The image "flips"