Quadratic Transformations

What can be done to the graph y=2x²+3 to obtain the graph of y=-2x²+3

• Shift it down 6 units

• Reflect it over the x-axis

• Reflect it over the y-axis

• Reflect it over the line y=3

• The second graph shares the same vertex and opens wider than the first graph

• The second graph is inverted and opens wider than the first graph

• The second graph is inverted and shares the same vertex with the first graph

• The second graph shares the same vertex, is inverted, and opens wider than the first graph

What would the difference between the graph of y=x²+3 and the graph of y=(x-2)²+3

• y=(x-2)²+3 would shift up two units

• y=(x-2)²+3 would shift left two units

• y=(x-2)²+3 would shift right two units

• y=(x-2)²+3 would shift down two units

This is the graph of y=a(x-h)²

Which could be a graph of y=a(x-h)²+3

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• Moving the graph

• Inverting the graph

• Widening the graph

• Narrowing the graph

• The graph of the new equations is wider

• The graph of the new equation is narrower

• The graph of the new equation still opens downward

• The vertex of the new equation is located further to the right

• The vertex is now located at (2,0)

• The vertex is now located at (6,0)

• The vertex is now located at (0,2)

• The vertex is now located at (0,6)

• The graphs vertex is now located at (0,-2)

• The graphs vertex is now located at (3,-2)

• The graphs vertex moves two units to the left

• The graphs vertex moves down two units on the y-axis

• The graph is now narrower

• The graph is now opening upward

• The graph has now moved down the y-axis

• The graph has a new axis of symmetry

Tags

CCSS.HSF-IF.C.7A

• It changes the width of the graph

• It changes the vertex of the graph

• It changes the graphs axis of symmetry

• It changes the direction that the graph opens