Vertex Form Practice printable pdf download

Vertex Form Practice

NAME____________________________________

y = a(x – h)

+ k

For each quadratic function,

a) Write the coordinates of its vertex

b) Write its axis of symmetry

c) Determine the direction of its opening (up or down)

d) State the domain (all real numbers)

e) State the range

f) Describe how the graph transformed from its parent function y = x

EXAMPLE:

y = -2(x – 3)

– 1 [Use the rules and graph this on your calculator verify your answer]

a) It’s vertex is (3, -1) [remember, opposite inside the

parenthesis]

b) Axis of symmetry: x = 3 [x-coordinate of vertex]

c) Opens down [value of a is negative]

d) Domain: All Real Numbers [any x-value can be

plugged into the equation]

e) Range: y ≤-1 [since the graph opens down, the

highest y-value is -1 at its vertex]

f) *Reflected over the x-axis (flipped) [since it opens

down and a is negative]

*Right 3 [x-coordinate of vertex is at positive 3]

*Down 1 [y-coordinate of vertex is at negative 1]

*Narrower than the parent graph [since |a| > 1]

Vertically stretched by a factor of 2

PRACTICE- follow steps a – f for problems 1 - 6

1. y = ½ (x + 4)

- 2

2. y = (x – 8)

3. y = -3x

+ 6

4. y = 4(x + 2)

5. y = -x

– 4x + 3

6. y = -1/3(x – 1)

– 2

Vertex Form Practice