Quadratic transformations flashcardziz

Front

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function. f(x)= x² , g(x)= (x−3)². Options: Vertex moves 5 up, Vertex moves 3 down, Vertex moves 3 to the right, Stretched by a factor of 3.

Back

Vertex moves 3 to the right

Front

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function. f(x)= x² , g(x)= 2x²

Back

Stretched by a factor of 2

Front

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function. f(x)= x² , g(x)= -½x²

Back

Reflected over the x-axis and compressed (shrunk) by a factor of ½

Front

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function. f(x)= x² , g(x)= (x+2)² − 3

Back

Moved 2 to the left and 3 down

Front

Describe the change shown in the equation. f(x) is the parent function and g(x) is the new function. f(x)= x² , g(x)= x² + 4

Back

Moved 4 up

Front

Describe the change shown in the equation. f(x) is the parent function and g(x) is the new function. f(x)= x² , g(x)= -x²

Back

Reflected over the x-axis

Front

Describe the change shown in the equation. f(x) is the parent function and g(x) is the new function. f(x)= x² , g(x)= (x−4)²

Back

Moved 4 to the right

Front

Equation for g(x), the parabola in blue, given f(x)= x²

Back

g(x)= x² + 3

Front

Write the equation for g(x), the parabola in blue. f(x)= x² Options: g(x)= x² + 2, g(x)= (x + 2)², g(x)= (x − 2)², g(x)= ½x²

Back

g(x)= (x + 2)²

Front

Equation for g(x), the parabola in blue, given f(x)= x². Options: g(x)= x² −3, g(x)= -¼x², g(x)= -x², g(x)= -4x²

Back

g(x)= -4x²