Intro to Functions Maximum Minimums Horizontal and Vertical Intercepts

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

Determine if the function graphed has a maximum or a minimum value and identify that value.

• maximum at -1

• minimum at -1

• maximum at 4

• minimum at 4

What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?

• The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum 

• The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum

• The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum

• The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum

Does
y = -4x²
have a maximum or minimum value?

• maximum

• minimum

Does the equation have a max or min?
y = 2x² + 7x + 5

• max

• min

The a value of this graph is

• negative

• positive

• impossible to tell

• 0

What is the minimum value of the quadratic function?

• -3

• -1

• All real numbers

• 1

What do we call the highest or lowest point of a quadratic?

• parabola

• vertex

• graph

• point

Find the Relative Maximum and Minimum. Round to nearest tenth.

• A

• B

• C

• D