Transformations of Quadratic Functions

Front

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²? Options: a vertical translation 4 units up, a vertical translation 4 units down, a horizontal translation 4 units to the left, a horizontal translation 4 units to the right

Back

a horizontal translation 4 units to the left

Front

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7
Options: reflection, vertical compression, horizontal right, vertical up, vertical compression, horizontal shift left, vertical shift up, reflection, horizontal shift right, vertical shift down, no changes were made to y = x²

Back

reflection, vertical compression, horizontal right, vertical up

Front

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

Back

Vertical stretch by 5

Front

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

Back

down 5

Front

Does the graph of this equation open up or down? f(x) = -(x + 3)² - 5

Back

down

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

What transformations have occurred? Options: Right 2 and up 2, Left 2 and up 2, Right 2 and down 2, Left 2 and down 2

Back

Right 2 and up 2

Front

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²
Options: horizontal shift left 7 units, horizontal shift right 7 units, vertical shift up 7 units, vertical shift down 7 units

Back

horizontal shift left 7 units

Front

Transformations to f(x) = x² to obtain g(x) = 2x² + 4?

Back

Vertical Stretch by a factor of 2 and vertical shift up 4 units

Front

Equation of quadratic function after vertical compression by 3/5 and shift up 8 units?

Back

f(x)=3/5x²+8