Matching Quadratic Equations and Graphs

Which graph matches the given equation?

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Which graph matches the given equation?

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Which graph matches the given equation?

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Which graph matches the given equation?

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

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Describe the transformations of f(x) when compared to the parent function. f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units

If the blue graph is f(x), the red must be...

• g(x) = f(x + 3)

• g(x) = f(x - 3)

• g(x) = f(x) + 3

• g(x) = f(x) - 2

Describe the transformation from dotted to solid.

• g(x) = f(x + 5) + 3

• g(x) = f(x +3) + 5

• g(x) = f(x - 5) + 3

• g(x) = f(x - 3) + 5

The graph of a quadratic function is shown on the grid. Which function is best represented by this graph?

The graph shows the height in feet of an object above the ground 5 seconds after it was launched from the ground. Which function is best represented by the graph of this situation?