Quadratic Functions: Transformations

Front

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5
Options: horizontal shift right 5 units, horizontal shift left 5 units, vertical shift up 5 units, vertical shift down 5 units

Back

vertical shift up 5 units

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

In the equation f(x)=5(x+3)²-10, what effect does the 5 have when compared to the parent function?

Back

Vertical stretch by a factor of 5

Front

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

Back

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

Front

If the blue is f(x)=x², the red must be: 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

Which of the following quadratic functions has the WIDEST graph? Options: f(x)= -3x², h(x)= 2x², g(x)= ¼x²  , p(x)= 4x²

Back

g(x)= ¼x²  

Front

Equation for the given graph: f(x) = (x - 2)² - 1, f(x) = (x + 2)² - 1, f(x) = -(x + 2)² - 1, f(x) = -(x - 2)² - 1

Back

f(x) = (x + 2)² - 1

Front

Equation: y = 3(x + 5)² - 4. Find the vertex of the parabola.

Back

(-5, -4)

Front

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Back

x = -3

Front

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

Back

down