Parent Graphs and Transformations

• RED one with the

  dashed line

• Not enough information to tell.

• BLUE on with the

  dotted line

• The all have the same a.

The parabola with the solid PURPLE line is the parent. Which parabola has a larger positive value for k?

• The RED one with the dashed line

• Not enough information to tell

• The BLUE one with the dotted line

• They have the same k value

Which parameter(s) is/are NEGATIVE?

• a, h and k

• a and h

• a and k

• h and k

• h and k

What can we tell from this graph?

• h is positive

• h is negative

• k is positive

• k is negative

Which group of statements is true for this graph?

Which parent function matches the graph?

• y = |x|

• y = ∛(x)

• y = x²

• y = a⋅b^x

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Which parent function matches the graph?

• f(x) = x

• f(x)= x²

• f(x) = |x|

• f(x) = ab^x

Which parent function matches the graph?

• f(x) = √(x)

• f(x) = ∛(x)

• f(x) = |x|

• f(x) = a⋅b^x

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit