Quadratic Graphs y=ax^2 and their characteristics

What does changing the "a" value in the quadratic formula from a positive to a negative do?

• reflect it over the y-axis

• make the function sad

• reflect it over the x-axis

• make the function cry

Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

If a > 1 , what is the transformation?

• Vertical Stretch

• Vertical Shrink

Which of the following graphs appropriately marks the axis of symmetry?

• 
• 
• 
• 

Using the graph of the quadratic function, identify the vertex.

• (4, -6)

• (0, 2)

• (.5, 0)

• (7.5, 0)

Using the graph of the quadratic function, identify the y-intercept.

• (4, -6)

• (0, 2)

• (.5, 0)

• (7.5, 0)

If 0 < a < 1, the transformation would be a

• Vertical Stretch

• Vertical Shrink

• refelcted over the x-axis, vertical Stretch by a factor of 3

• Vertical Stretch by a factor of 3

• Vertical Shrink by a factor of 3

• Reflected over the x-axis and a shrink by a factor of 3

• Reflection over the x-axis, vertical shrink by 1/5

• Reflection over the x-axis, vertical stretch by 1/5

• Reflection over the y-axis, vertical stretch by 1/5

• Reflection over the y-axis, vertical shrink by 1/5

Mirror image of a graph over a line; does not change the graphs shape

• Translation

• Transformation

• Vertex

• Reflection

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.3

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6