RECAP Vertex Form Characteristics

​y=a(x-h)²+k

​ y=a(x-h)²+k

Vertex= (h,k)

If a is positive, then we have a happy face

-opens up

-Parabola has a minimum

if a is negative, then we have a sad face

-opens down

Parabola has a maximum

​(h,k)

​(h,k)

​Example:

Multiple Choice

The following equation: $$y=3\left(x-5\right)^2+4$$ has?

• Maximum

  "a" is negative

• Maximum

  "a" is positive

• Minimum

  "a" is negative

• Minimum

  "a" is positive

Multiple Choice

What is the vertex?

$$f\left(x\right)=\ 3\left(x-4\right)^2+8$$

• (3,4)

• (4,8)

• (-4,8)

• (4,-8)

Multiple Choice

Following equation $$f\left(x\right)=\ 3\left(x-4\right)^2+8$$ open?

• up because 3 is positive.

• down because 4 is negative

• up because 8 is positive

• trick question, the line is vertical.

​When given: y=a(x-h)²+k

The Axis of Symmetry is the h

​Axis of Symmety: x=2

Multiple Choice

What is the equation axis of Symmetry of $$y=4\left(x+5\right)^2-9$$ ?

• x=5

• x=-5

• x=9

• x=4

Multiple Choice

The equation of the Axis of Symmetry is a...?

• HOY

• VUX

• DO/RA

• Slope