Transformations of Quadratics Review

Front

What is the parent function of a quadratic?

Back

Front

Which transformation transforms the graph of f(x) = x² to the graph of g(x) = (x + 4)²?

Back

shift 4 units to the left

Front

How did we transform from y=x² to y = -3x²?

Back

reflection x-axis and narrower

Front

If the blue graph is
f(x) = x² 
the red must be...
Options: g(x) = (x + 3)², g(x) = (x - 3)², g(x) = x² + 3, g(x) = x² - 2

Back

g(x) = (x - 3)²

Front

If the blue graph is
f(x) = x² 
then the red must be...
Options: g(x) = x² - 5, g(x) = x² + 5, g(x) = (x - 5)², g(x) = (x + 5)²

Back

g(x) = x² - 5

Front

How does the graph of g(x) = 5x² compare to f(x) = x²?

Back

The graph of g(x) is narrower than the graph of f(x).

Front

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

Back

Vertical stretch by 5

Front

Equation: Match the equation to its description. Options: Vertical Stretched by 2 and translation up 4, Vertical Compressed by 2 and translation up 4, Horizontal Stretched by 2 and translation left 4, Horizontal Compressed by 2 and translation right 4

Back

Vertical Stretched by 2 and translation up 4

Front

What is the domain of the graph?

Back

All real numbers

Front

What is the range of the graph?

Back

y ≥ 0