6.1 and 6.2
What C value will create a perfect square trinomial: x^2+8x+c
16
How do you convert standard form into vertex form?
Completing the square.
What is the quadratic formula. Write it down.
Determine the amount of zeros this equation has: Y=5(x+2)(x+2)
1
Create a relation that models the height, h, of a ball that as been kicked from the ground after time, t
Check
What C value will create a perfect square trinomial: x^2+20x+c
100
How do you find your magic number?
B/2, then square it.
State the values of a, b and c that you would sub into the quadratic formula to solve. x^2+5x-2=0
a=1, b=5, c=-2
Determine the roots of x^2-6x+5=0 using quadratic equation.
1 and 5
A model rocket is shot straight up from the roof of a school. The height, h, in meters, after t seconds can be approximated by h=15+22t-5t^2. What is the height of the school?
15m
Solve: (3x+8)(x-4)=0
-8/3 and 4
State the vertex.
Y = 4(x-3)^2+99
(3, 99)
Solve: 2x^2=50
5, -5
Determine the amount of real solutions this equation has: 5(x+3)^2=0
1
Harold wants to build five identical pigpens, side by side, on his farm using 30m of fencing. Determine the dimensions of the enclosure that would give his pigs the largest possible area. Calculate this area.
2.5m by 7.5m: 18.75m^2
Determine the roots of the equation: x^2+5x=14
-7 and 2
Write Y=x^2+6x+2 in vertex form.
Y=(x+3)^2-7
Does the parabola lie above, below or on the x axis?
h=2t^2-4t+1.5
below
The sum of the squares of three consecutive even integers is 980. Determine the intergers.
(16, 18 and 20) or (-16, -18 and -20)
Is it possible to solve a quadratic equation that is not factorable over the set of integers? Explain.
Yes
Daily profit, p, in dollars is modeled by P=-15x^2+240x-640, where x is amount of clients per day. How many clients should be booked to maximize profits.
8
Determine the points of intersection of the parabolas:
Y= 2x^2+5x-8, Y=-3x^2+8x-1
about (-0.92, -10.91), (1.52, 4.23)
The height of a ball, h, in meters is modeled by: h=0.005x^2+24, where t=seconds since the ball was thrown. How many zeroes does this relation have? Why?
1, because starts above the ground, and falls downwards.
Nick has a rectangular garden (3 by 3). He wants to create a uniform border of rocks around the three sides of his garden. If he wants the area of the border and the area of his garden to be equal, how wide should the border be?
about 0.84m