Quadratic Stretch

What happened from the red graph to the blue graph? and what would   be?

Answer explanation

Remember if "a" is greater than or equal to 1, it will stretch

What is "a" and what will happen to the parabola?

• nothing

• It will turn into a black hole

Answer explanation

if $a\ge1$ then the parabola will stretch

What happened from the red graph to the green graph? and what would   be?

Answer explanation

Remember if "a" is less than 1 but greater than 0 it will compress

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

• g(x)=2x²

• g(x)=0.5x²

• g(x)=x²+2

• g(x)=(x+2)²

Let the graph of g be a vertical stretch by a factor of 5 of the graph of f(x) = x². Write a rule for g.

• g(x) = 5x²

• g(x) = -5x²

• g(x) = x² + 5

• g(x) = (x + 5)²

The graph of f(x) = x² is shown on the grid. Write a statement about the relationship between the graph of f and the graph of g(x) = 7x². The graph has been ​ (a)   stretched by a factor of ​ (b)   .

• vertically

• 7

• horizontally

• -7

• vertical compression

• vertical stretch

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

• The graph of g(x) is wider than the graph of f(x)

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

• The graph of g(x) is shifted 5 units up above f(x)

• The graph of g(x) is shifted 5 units down below f(x)

Which of the following shows a vertical stretch of the parent function?

• y = -5x²

• y = -x²

• y = 2/5x²

• y = -3/4x²

Which equation represents the parent quadratic function being vertically stretched by a factor of 2, translated 5 units to the right and translated 3 units down?