Solve
Solve: x2-6x + 3 = 0. Simplify any radicals
3 +/- sqrt6
Change into standard form:
-2(x + 2)(x -1)
-2x2-2x + 4
The function y = -16x2 + 48x + 6 gives the height of tennis ball in feet after x-seconds. What is the y-intercept and what does it mean?
(0, 6). The tennis ball started at 6 feet
How many real solutions does the equation have?
(x +3)2 = 0
1
What is the equation of the line of symmetry?
y = -(x -3)2 - 5
x = 3
Solve: x2-3x + 4 = 0 Simplify any radicals
no real solutions
Change into factored form:
x2 - 6x = 16
(x - 8)(x + 2)
Solve the systems of linear and quadratic equations.
y = 2x2 - 5
y = -x + 1
(-2, 3/2) (3, 1/2)
How many real solutions does the equation have?
x2 = 24
2
What are the x-intercepts?
y = x2 + 5x + 6
(-3, 0) (-2, 0)
Solve: x2-2x= 6. Simplify any radicals
1 +/- sqrt7
Change into vertex form:
-3x2 - 6x - 9
-3(x +1)2 - 6
The function y = -16x2 + 48x + 6 gives the height of tennis ball in feet after x-seconds. What is the maximum height of the tennis ball?
42 feet
How many real solutions does the equation have?
x2 + 5 = 3
none
What is the y-intercept?
f(x) = 3x2 + 5x - 9
(0, -9)
Solve: x2 - 12 = 0. Simplify any radicals
2 +/- sqrt3
Change into vertex form:
2x2 + 12x + 13
2(x +3)2 - 5
Solve the systems of linear and quadratic equations.
y = x2 - 3x - 6
y = x + 6
(6, 12) (-2, 4)
How many real solutions does the equation have?
(x + 4)2 + 5 = 5
1
What is the vertex?
y = 2(x +1)(x - 4)
(1.5, -12.5)
Solve: x2 = 3x + 10. Simplify any radicals
(3 +/- sqrt 89)/4
Change into standard form
3(x +2)2 + 1
3x2+ 12x + 13
The function y = -16x2 + 48x + 6 gives the height of tennis ball in feet after x-seconds. When does the tennis ball hit the ground. Round to the nearest 100th.
After 3.12 seconds
How many real solutions does the equation have?
-4(x -1)2 = -16
2
What is the y-intercept?
f(x) = 3(x +2)2 + 1
(0, 13)