What do we call the graph of a quadratic function? #1

Does this graph have a maximum or minimum value? #3

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola? #2

Which equation best represents the graph? #6

Which answer choice describes y = -3x² +7x - 2 accurately? #7

Find the vertex of  f(x) = -x² - 4x + 12. #8

What is the vertex form of a quadratic function? #16

What is the vertex form for a vertex of (-3,-5) and when a=-2? #11

What is the vertex of y=x²+4x+3? #13

What is the y-intercept for the equation:

y = -8x² + 3x - 7 #14

A farmer wants to construct a rectangular pigpen using 400m of fencing. The pen will be built next to an existing stone wall, so only three sides of fencing need to be constructed to enclose the pen. What dimensions should the farmer use to construct the pen with the largest possible area? #19

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground? #20

What steps transform the graph  $$y=x^2$$   to  $$y=-\frac{1}{2}\left(x-4\right)^2+1$$ ? #30

If the blue is f(x)=x^2, then the red must be. #31

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)? #32

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. When does the rock hit the ground? #42

The function h(t) = -16t²+60t + 130 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? #43

A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps? #44

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. 

What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot. #55