Properties of Quadratics 5.2
Find the y - intercept
x^2 -3x + 2
(0,2)
Complete the square
x^2 + 8 = 6x
2,4
sqrt ( -16)
plus minus 4i
find the zeros of f(x) = x^2 - 5x - 6
-1, 6
quadratic formula: find zeros of x^2 +7x + 10
-5, -2
Identify the axis of symmetry
f(x) = x^2 + 10x + 25
x = -5
5 plus minus sqrt of 29
8 sqrt (-8)
16i sqrt (2)
find the zeros x^2 - 25 = 0
-5, 5
how many solutions and what type? imaginary or real
2x^2 - 3x - 8 = 0
2 real solutions
Find the vertex
x^2 - 3x + 2
(3/2, -1/4)
Complete the square: answer as a fraction
x^2 + 3x - 5
-3/2 plus or minus (sqrt (29) )/ 2
5x^2 = -80
plus minus 4i
2x^2 + 12x + 18
-3, -6
2x^2 - 19 = 0
plus minus sqrt 38 all over 2
Find the vertex
-2x^2 + 7x -3
(7/4, 3.125)
3x^2 + 6x = 1
-1 plus minus (2 * sqrt(3) ) / 3
3x^2 + 27 = 0
plus or minus 3i
f(x) = -x^2 +6x - 8
2,4
how many solutions and what type?
4x^2 - 28x = -49
1 real solution
The path of a soccer ball is modeled by the function h(x) = -0.005x^2+0.25x , where h is the height in meters and x is the horizontal distance that the ball travels in meters. What is the maximum height that the ball reaches?
3.125m
2x^2 − 5x + 67 = 0
Answer in fractions.
5 plus or minus i sqrt of 511 all over 4
find the zeros of f(x) = x^2 - 2x + 17
1 plus or minus 4i
f(x) = x^2 + 4x
-4, 0
If a tightrope worker falls, he will land on a safety net. His height h in feet after a fall can be modeled by h(t) = 60 - 16t^2, where t is the time in seconds. How many seconds will the tightrope walker fall before landing on the safety net?
1.75s