Describe the Transformation of Quadratic Function

What would the equation for the new quadratic function be if it was vertically shifted up 3 units  from the function f(x)=4x²+2?

•  g(x)=x²+3

•  g(x)=7x²+2

•  g(x)=4x²+3

•  g(x)=4x²+5

What is the horizontal shift of this equation?
y = -(x + 3)² - 5

• left 3

• right 3

• left 5

• right 5

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

If the yellow curve has equation f(x)=x²,

• Then the blue curve is f(x) = x² - c

• Then the blue curve is f(x) = (x+c)²

• Then the blue curve is f(x) = (x-c)²

• Then the blue curve is f(x) = x² + c

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)² 

• shifted up five units
  reflection in x-axis

• shifted down five units
  reflection in x-axis

• shifted left 5 units
  reflection x-axis

• shifted right 5 units
  reflection x-axis

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)

• Left 2, Down 2, Vertical Stretch
• Right 2; Up 1; 
• Vertical Stretch; Right 2; Up 1
• Left 2; Down 2;

Describe the transformation of the function from the Parent Function g(x)=-x^3+5

• Reflection over

  x-axis

  and

  Shift Left 5

• Reflection over

  y-axis

  and

  Shift Right 5

• Reflection over

  y-axis

  and

  Shift Up 5

• Reflection over

  x-axis

  and

  Shift Up 5

• Vertical Stretch by 2, Shift Right 3 and Shift Down 7

• Vertical Stretch by 2, Shift Right 7 and Shift Down 3

• Vertical Stretch by 2, Shift Left 7 and Shift Down 3

• Horizontal Stretch by 2, Shift Right 7 and Shift Down 3

Which equation represents the parent quadratic function being vertically stretched by a factor of 2, translated 5 units to the right and translated 3 units down?