Test 3 Review

Vocab

100

X- Intercepts are also known as the __________.

Zeros

200

Maximum or Minimum 

Vertex

300

ax²+bx+c, the c represents _________

Y- intercept

400

How can you tell if the graph is going to open upwards or downwards?

The a value

500

Describe how to find the axis of symmetry

x=-b/2a

Characteristics

100

Find the axis of symmetry: f(x)=x²+3x-4

x=-3/2 or -1.5

200

Find the y- intercept: f(x)=x²+3x-4

(0,-4)

300

Find the vertex: f(x)=2x²+4x-5

(-1,-8)

400

Is the parabola opening up or down?

f(x)=-x²+2x-3

Down

500

Find the vertex: f(x)=x²-8x+2

(4,-14)

Factoring

100

Factor: x²+4x+3

(x+3)(x+1)

200

Factor: x²-4x-5

(x-5)(x+1)

300

Factor: 2x⁴-4x³+8x

2x(x³-2x²+4)

400

Factor: x²-81

(x+9)(x-9)

500

Factor: 3x²-7x=-4

(3x-4)(x-1)

Solving Quadratics

100

Solve: x²=25

x=-5, 5

200

Solve: 2x²+8x+6=0

x=-3, -1

300

Solve: x²+8x-6=0

x=-8.69, .69

400

Solve: x²+7x-5=0

x=-7.65, .65

500

Solve: -x²+7x=6

x=1, 6

Applications

100

Find the discriminant, state the number of real solutions: 6x-9=x²

One solution

200

A rock is thrown with an equation of h(t)=-16t²+20t+5. Find the maximum height of the rock.

11.25 ft

300

A rock is thrown with an equation of h(t)=-16t²+20t+5. At what time will the rock reach its maximum height?

.625 sec

400

A rock is thrown with an equation of h(t)=-16t²+20t+5. When will the rock hit the ground?

1.464 sec

500

A rocket is launched with a height equation of h(t)=-16t²+64t+5. When will the rocket be 50 feet in the air?

t= .91 and 3.09 sec