Comparing Quadratic Functions

What is the vertex of this quadratic equation?

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)

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 the quadratic have a max/min vertex, and does the graph open up/down?

• max/ opens down

• min/ opens up

• max/ opens up

• min/ opens down

Which function is quadratic?

• f(x)

• h(x)

• g(x)

The equation f(x)= - (x+7)² +3 represents f(x), and the graph represents g(x). Select all of the true statements about the two functions

• The line of symmetry of g(x) is x=1

• The maximum of g(x) is less than the maximum of f(x)

• The value of x when f(x) is at its maximum is less than the value of x when g(x) is at its maximum

• g(x) has a vertex value that is a minimum

• f(x)'s graph is a parabola opening down

Compare ƒ(x) = -2x² - 8x + 20 to the graph of g(x) shown.  What can you conclude about the two functions?

•  ƒ(x) has a greater maximum than g(x).

• g(x) has a greater maximum than ƒ(x).

• ƒ(x) has a minimum, while g(x) has a maximum.

• g(x) and ƒ(x) have the same maximum.

Compare the function y = 5x² to the parent function y = x²

• Wider

• Narrower

Identify the function shown shown
.

• Linear

• Quadratic

• Exponential 

• Not answering

• a

• b

• c

• d

Which student represents a Quadratic Function?

• Beth

• Maria

• Tracy

• None of the above