Review and writing equations 2024

Multiple Choice

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

Multiple Choice

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Multiple Choice

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts

• parabola

• Axis of symmetry / Line of symmetry

• line of dashes

Multiple Choice

What is the axis of symmetry for the equation: y = ½(x - 4)² - 4?

• y = 4

• y = - 4

• x = 4

• x = - 4

Multiple Choice

Which equation matches the graph?

• y=(x-2)²+3

• y=(x-2)²-3

• y=(x+2)²+3

• y=(x+2)²-3

Writing Quadratic Equations

1. Identifying the vertex

2. Solving for a

3. Writing in vertex form

4. Changing to standard form

Match

Match the following:

Vertex $$\left(1,\ 6\right)$$ going through the point $$\left(-2,\ 0\right)$$

• h

• k

• x

• y

1

6

-2

0

• 1

• 6

• -2

• 0

Multiple Choice

Vertex $$\left(1,6\right)$$ going through point $$\left(-2,0\right)$$

Which of the following shows the values correctly substituted into the vertex form?

• $$0=a\left(-2-1\right)^2+6$$

• $$6=a\left(-2-1\right)^2+0$$

• $$0=a\left(1+2\right)^2+6$$

• $$6=a\left(1+2\right)^2+0$$

Multiple Choice

Vertex $$\left(1,6\right)$$ going through point $$\left(-2,0\right)$$ .

What is the value of a?

• $$3$$

• $$-\frac{2}{3}$$

• $$-\frac{3}{2}$$

• $$15$$

Math Response

Vertex $$\left(1,6\right)$$ going through point $$\left(-2,0\right)$$ .

What is the equation in standard form?

Use y= instead of f(x)=

Type answer here

Correct Answer: y=-\frac{2}{3}\left(x-1\right)^2+6

Deg^°

Rad