Factoring
16 - 2m2
2(8 - m2)
For the function f(x) = -2x2 + 4x +2, what direction does the parabola open?
Downward
x2 + 6x + 8 = 0
-4, -2
When is it more useful to use a table or a graph for solving a quadratic equation rather than the factoring method?
When it is not easily factored
Solve the system of equations: 2x - y = 4 and 3x + y = 1
(1, -2)
y2 - 13y + 12
(y - 12)(y - 1)
Identify the vertex: f(x) = 1/2(x - 2)2 - 6
(2, -6)
2x2 + 6x = -4
-2, -1
The function h = -16t2 + 1700 gives an objects height in feet at t seconds. Explain the value 1700 in the context of the problem.
The initial height.
What is the axis of symmetry for y = -3x2 -12 + 12x?
x = 2
4y2 - 9
(2y + 3)(2y - 3)
Identify the vertex: f(x) = 3/4x2 - 4
(0, -4)
2x2 - x = 2
-0.78, 1.28
A frog's jump is described by the function f(x) = -0.029x2 + 0.59x, where x is the distance, in feet, from the start. How far did the frog jump? Round to two decimal places.
20.34 feet
Write a quadratic equation with a vertex at the origin.
Answers may vary.
-10n + 25 + n2
(n - 5)2
Identify the axis of symmetry: f(x) = -x2 + 6x - 5
x = 3
5x2 + x = 4
4/5, -1
If 5 is a zero of the function f(x) = x2 + bx -20, what is the value of b?
-1
Simplify sqrt(80)
4*sqrt(5)
2x2 + 7x + 6
(2x + 3)(x + 2)
Identify the vertex: f(x) = 4x2 + 16x + 8
(-2, -8)
x2 = 4x + 8
-1.46, 5.46
A frog's jump is described by the function f(x) = -0.029x2 + 0.59x, where x is the distance, in feet, from the start. How high did the frog jump?
3 feet
Multiply (x + 2)(2x2 + 3x + 4)
2x3 + 7x2 + 10x +8