Transformation of function graphs C

Which equation is shown?

• y = (x-2)²
• y = (x+2)²

Tags

CCSS.HSF-IF.C.7A

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

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

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

  . 
The blue graphs is the parent function f(x)=|x|, the red must be

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

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f
• The graph of f is a horizontal translation two units left of g
• The graph of g is a vertical stretch by a factor of 2 of the graph of f
• The graph of g is a reflection of the graph of f

Given that  $f\left(x\right)$  is an even function and that  $f\left(-3\right)=19$  , which statement must also be true?

•  $f\left(3\right)=19$  

•  $f\left(-3\right)=-19$  

•  $f\left(3\right)=-19$  

•  $f\left(19\right)=-3$  

Tags

CCSS.HSF.BF.B.3

Given that  $g\left(x\right)$  is an odd function and that  $g\left(2.5\right)=4$  , which statement must also be true?

•  $g\left(-2.5\right)=-4$  

•  $g\left(2.5\right)=-4$  

•  $g\left(-2.5\right)=4$  

•  $g\left(4\right)=2.5$  

Tags

CCSS.HSF.BF.B.3

 $y=x^2+3x+9$  

• Even Function

• Odd Function

• Function - neither even nor odd

• Not a function

Tags

CCSS.HSF.BF.B.3

 $y=7x^8-9x^2+33$  

• Even Function

• Odd Function

• Function - neither even nor odd

• Not a function

Tags

CCSS.HSF.BF.B.3