Quiz 3.1 - Features and transforms

Describe the transformations that were applied to the parent function.

y = x^{2}-5

Describe the transformations that were applied to the parent function.

y = 3\sqrt{x+8}

Describe the transformations that were applied to the parent function.

y=\frac{1}{2}(x-1)^{2}-1

Dale graphed the square root parent function. Then, he reflected the graph over the x-axis, shifted it four untis to the right and three units up. Give the new equation.

Identify the function transformations.

y=\frac{5}{4}x^{2}+4

Identify the function transforms.

y=-2\sqrt{x-2}

The quadratic parent function is reflected over the x-axis, then shifted up 3 and left 1.

Write the equation for the new function in vertex form, y=A(x-h)^{2}+k, no spaces.

Identify the vertex.

y=(x+2)^{2}+1

Use (x, y) format with one space after the comma.

Identify the increasing interval.

y=(x+2)^{2}+1

Use interval notation, one space after the comma.

y=(x+2)^{2}+1

Which gives the end behaviors for the function?

State the range of the given function.

y=\sqrt{x+2}+1

Use interval notation, with one space after the comma.

State the domain of the given function.

y=\sqrt{x+2}+1

Use interval notation, with one space after the comma.

Identify the vertex:

y=-\frac{5}{2}(x-4)^{2}

Use (x, y) format with one space after the comma.

Identify the increasing interval:

y=-\frac{5}{2}(x-4)^{2}

Use interval notation, one space after the comma.

For the infinity symbol, use the keyboard on the right.

Consider

y=-\frac{5}{2}(x-4)^{2}

Which gives the end behaviors for the function?

Identify the range.

y=-\sqrt{x-1}

Use interval notation.

Identify the domain.

y=-\sqrt{x-1}

Use interval notation.