Transforming Quadratics Standard Form

Describe the transformations from f(x)=x² to g(x)=1/4x²+4

• Reflected across x axis, up 4 units

• Vertical shrink by 1/4, up 4 units

• Vertical stretch by 4, up 4 units

• Vertical string by 1/4, left 4 units

Changing the c value of a standard form quadratic (y=ax²+bx+c) transforms the graph how?

• Up and down

• Left or right

• Reflects over x axis

• Up only

• Creates a change in the universe that is so chaotic it creates a new galaxy

Comparing h(x)=-5x²-1 to the parent function f(x)=x², determine which transformation DOES NOT occur.

• Reflection over the x-axis

• Vertical stretch by a factor of 5

• Down 1 unit

• Reflected over the y-axis

Which function's graph is the result of shifting the graph of f(x)=-x²-4 3 units down?

• g(x)=-x²-1

• g(x)=-4x²-4

• g(x) = -1/3x²-4

• g(x)=-x²-7

• F

• G

• H

• J

Mathematical Equivalence

ON

A ​ (a)   in one variable is an equation that can be written in the ​ (b)   ​ (c)   , where a, b, and c are ​ (d)   and ​ (e)   .

• quadratic equation

• standard form

• real numbers

Which equation matches the following transformation: up 4, stretched 3, reflected down, and left 1

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

• a reflection across the x-axis

• a reflection across the line y = -4

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right