Graphing Transformations of Quadratic Functions

What are the transformations of the graph compared to the graph of f\left(x\right)=x^2?

• Left 3, down 4

• left 4, down 3

• right 3, down 4

• vertical stretch by 2, left 3, down 4

• vertical stretch by 2, right 3, down 5.

• vertical reflection, left 3, down 5.

• vertical stretch by 2, left 3, down 5

• vertical reflection, vertical stretch of 3
  

Identify the equation of the parabola in vertex form.

Tags

CCSS.HSF-IF.C.7A

The blue graph is y=x². Which equation matches the red graph?

• y = (x - 5)² + 2

• y = (x + 2)² + 5

• y = (x + 2)² - 5

• y = (x - 2)² + 5

• Reflection over x-axis

• None of these

• y = (x - 1)² - 2
• y = (x + 1)² - 2
• y = (x - 2)² + 1
• y = (x + 2)² - 1

Tags

CCSS.HSF-IF.C.7A

Which of these shows a parent function of a quadratic equation moved 1 unit down?

• f(x)=(x - 1)²

• f(x)=(x+1)²

• f(x)= x²

• f(x)=x² - 1

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

If the blue graph 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