Shifts in Quadratic Functions Intro

If the graph shows price vs profit, what is the maximum profit? 

• 35

• 12,000

• 12,500

• 60

When I want to find the maximum or minimum height of an object, I should_____

• Look at the x intercepts

• Look at the axis of symmetry

• Look at the y intercept

• Look at the y-coordinate for the vertex

• Look at the x-coordinate for the vertex

Which of the following mean the same as x-intercept? (More than one answer! Select all that are correct)

• Zero

• Root

• Axis of Symmetry

• Solution

• Maximum

Which one are we looking for?

Elliot wants to know how high the soccer ball will get if he kicks it straight up in the air.

• x at vertex

• y at vertex

• zeros/roots/x intercepts

• y-intercept

Which of the following equations represents the graph pictured?

Which function's graph is the result of shifting the graph of f(x)=-x²-4 down 3 units?

• g(x)=-x²-1

• g(x)=-4x²-4

• g(x) = -1/3x²-4

• g(x)=-x²-7

In the graph of the function y=x², which describes a vertical shift in the parent function up 5 units?

• y = x² - 5

• y = x² + 5

• y = (x - 5)²

• y = (x + 5)²

What would the equation for the new quadratic function be if it was horizontally shifted right 1 unit  from the function f(x)=x²+4?

• g(x)=x²+5

• g(x)=(x+1)²+4

• g(x)=(x-1)²+4

• g(x)=x²+3

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