Changes in graphs of Quadratic Functions

Describe the transformation

• up 3
• down 3
• left 3
• right 3

Name the parent function.

• quadratic
• cubic
• square root
• logarithmic

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

• g(x)= x²+3

• g(x)= (x+3)²

• g(x)= (x-3)²

• g(x) =(x-2)²

The graph of  $y=x^2$  is shown in bold and labeled. Which of the following could be the equation of the graph shown as a dashed line?

•  $y=2x^2$  

•  $y=-\frac{1}{2}x^2$  

•  $y=\frac{1}{3}x^2$  

•  $y=-4x^2$  

Which equation shows a function that is translated left 4 and 7 up?

• $y=\left(x+4\right)^2+7$

• $y=\left(x-4\right)^2+7$

• $y=\left(x+7\right)^2-4$

• $y=\left(x-7\right)^2+4$

Which one has the narrowest graph?

• f(x) = 3x²

• g(x) = -2x²

• h(x) = 0.5x²

• a(x) = 12x²

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

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)?

• A.  g(x)=3x²
• B.  g(x)=1/3x²
• C.  g(x) = x² - 3
• D.  g(x) = (x-3)²

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)?

• A.  g(x) = 2x²
• B.  g(x) = 1/2x²
• C.  g(x) = x² + 2
• D.  g(x) = (x + 2)²

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

• translation

• rotation

• reflection

• vertical stretch