Describing Quadratic Functions Transformation

How can we tell if we should go up or down from our first dot on our graph?

• The a value tells us (positive means we go up, negative means we go down)

• The b value tells us (positive means we go up, negative means we go down)

• The c value tells us (positive means we go up, negative means we go down.

• Guess, and hope for the best.

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

An "a" value of 1/3 will make the parabola _______ compared to the graph of the parent function f(x) = x²

• There is no change

• vertically stretch

• vertically compress

• horizontally compress

• reflection

• stretch

• shrink

• left 4, up 2

• right 4, up 2

What is the equation of the transformed function g(x) in red?

• g(x)=-(x-4)²

• g(x)=-x²+4

• g(x)=5x²+4

• g(x)=-4x²+4

• Reflection across the x-axis,

  vertical compression of 2/3

• vertical stretch of 2/3

• Vertical Shift up 7,

  Horizontal Shift right three units

• horizontal shift left 3 units, vertical shift down 7 units

What translations occur from the parent function to create the graph of f(x) = (x + 4)² - 7?

• left 7 & down 4

• left 4 & down 7

• right 4 & up 7

• right 4 & down 7

What would the equation for the new quadratic function be if it was horizontally shifted left 3 units from the function f(x)=2x²  and then vertically stretched by a factor of 5?

• g(x)=10(x-3)²

• g(x)=10(x+3)²

• g(x)=3(x-5)²

• g(x)=5x² - 3

• A vertical shift up

• A vertical shift down

• A horizontal shift left

• A horizontal shift right

• Translated right 2 units and down 6 units

• Translated right 2 units and up 6 units

• Translated left 2 units and up 6 units

• Translated left 2 units and down 6 units

• Wider

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.