4.1 to 4.4

In this assignment, you will be able to...

1.Graph a function. Calculate the vertex and axis of symmetry.

3. Solve quadratics by factoring.

4. Solve models with quadratics.

2. Change intercept and vertex form into standard form.

Graph the function. Label the vertex and axis of symmetry.

1.)y=x^2-6x+14

Answer:

Graph the function. Label the vertex and axis of symmetry.

2.)y=2x^2+8x+15

Answer:

Graph the function. Label the vertex and axis of symmetry.

3.)f(x)=-3x^2+6x-5

Answer:

4.)

Write the Quadratic function in standard form.

y=(x-4)(x-8)

Answer: y=x^2-12x+32

5.)

Write the Quadratic function in standard form.

y=-2(x+3)(x-7)

Answer: y=-2x^2+8x+42

6.)

Write the Quadratic function in standard form.

y=5(x+6)^2-2

Answer: y=5x^2+60x+178

7.)

Solve the equation.

x^2+9x+20=0

Answer: x=-5 or x=-4

8.)

Solve the equation.

n^2-11n+24=0

Answer: n=3 or n=8

9.)

Solve the equation.

z^2-3z-40=0

Answer: z=-5 or z=8

10.)

Solve the equation.

5s^2-14s-3=0

Answer: s=-1/5 or s=3

11.)

Solve the equation.

7a^2-30a+8=0

Answer: a=2/7 or a=4

12.)

Solve the equation.

4x^2+20x+25=0

Answer: x=-5/2

13.) DVD PLAYERS. A store sells about 50 DVD players per month at a price of $140 each. For each $10 decrease in price, about 5 more DVD players per

month are sold. How much should the store charge in order to maximize

monthly revenue? What is the maximum monthly revenue?

Answer: $120 per DVD playerMax monthly revenue $7200

14.)CIVIL ENGINEERING. The arch of the Gateshead Millennium Bridge forms a

parabola with the equation y=-0.016(x-52.5)^2+45 where x is the horizontal

distance (in meters) from the arch's left end and y is the distance (in meters) from the

base of the arch.

a.) What is the maximum height of the arch?

b.) What is the width of the arch?

Answer: Max height: 45 mLength of arch: 105 m