Quadratic Graphs transformations

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

What transformation occurred?

• f(x+4)
• f(x) + 4
• f(x-4)
• f(x) -4

Given f(x) = x² - 4 , how did we transform from the parent function?

• Shift left 4

• Shift up 4

• Shift right 4

• Shift down 4

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

• translation

• rotation

• reflection

• vertical stretch

The graph of g(x) = x² is transformed to create the graph of g(x) = -g(x).  Describe the transformation.

• Vertical shift up.
• Horizontal shift to the right.
• Reflection in the x-axis.
• Horizontal shift to the left.

The graph of g(x) = x² is transformed to create the graph of h(x) = 0.5g(x).  Describe the transformation.

• Vertical stretch by a factor of 0.5.
• Vertical shrink/compression by a factor of 0.5
• Horizontal stretch by a factor of 0.5.
• Horizontal shrink/compression by a factor of 0.5.

How did we transform from the parent function?

g(x) = -1/5(x - 1)² + 7

• reflection across the y-axis, vertical compression by 1/5, right 1, up 7

• reflection across the x-axis, vertical compression by 1/5, right 1, up 7

• reflection across the y-axis, vertical stretch by 1/5, right 1, up 7

• reflection across the y-axis, vertical compression by 1/5, left 1, down 7

Which of the following graphs represents the quadratic function above?

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Tags

CCSS.HSF-IF.C.7A

Which of the following graphs represents the quadratic function above?

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Tags

CCSS.HSF-IF.C.7A