Standard form to Graph Review

Problem 1
y=x²+6x+10

By David Elm

Multiple Choice

Which diagram matches this quadratic?

$$y=x^2+6x+10$$

Multiple Choice

Which extended form matches this graph?

• $$y=x^2+6x+9+1$$

• $$y=x^2+6x+9+2$$

• $$y=x^2+3x+9+1$$

• $$y=x^2+3x+9+2$$

Multiple Choice

This diagram matches this extended form.

$$y=x^2+6x+9+1$$

What is the vertex form?

• $$y=\left(x+3\right)^2+1$$

• $$y=\left(x+6\right)^2+1$$

• $$y=\left(x+3\right)^2+3$$

• $$y=\left(x+6\right)^2+3$$

Fill in the Blanks

With this vertex form,

$y=\left(x+3\right)^2+1$ ,

Where is the vertex?

Multiple Choice

Which graph has this vertex point?

(-3, 1)

Problem 2
y=x²-4x+6

By David Elm

Multiple Choice

Which diagram matches this quadratic?

$$y=x^2-4x+6$$

Multiple Choice

Which extended form matches this graph?

• $$y=x^2-4x+4+2$$

• $$y=x^2+4x+4+2$$

• $$y=x^2-2x+4+2$$

• $$y=x^2+2x+4+2$$

Multiple Choice

This diagram matches this extended form.

$$y=x^2-4x+4+2$$

What is the vertex form?

• $$y=\left(x-2\right)^2+2$$

• $$y=\left(x+2\right)^2+2$$

• $$y=\left(x-4\right)^2+2$$

• $$y=\left(x+4\right)^2+2$$

Fill in the Blanks

With this vertex form,

$y=\left(x-2\right)^2+2$ ,

Where is the vertex?

Multiple Choice

Which graph has this vertex point?

(2, 2)