Solving by factoring
Solve this quadratics by factoring.
x2 + 2x = 3
x2 + 2x - 3 = 0
= (x-1)(x+3) = 0
x = 1 or x = -3
What is the equation for this?
An object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. What will be the object's maximum height? When will it attain this height? When will it hit the ground?
h=-16t^2+64t+80
What do you have to do to solve quadratics equation by taking square roots after step 1?
Isolate the squared term. Then, you have to take the square roots both sides. After that, solve the square roots to get x alone.
Use desmos to find which regression model fits best:
x= 3, 5, 7, 9
y=-12, 0, 20, 48
Quadratic
What do we call the solutions to a quadratic equation?
ZERO
An object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. What will be the object's maximum height?
144 feet
Solve this equation by taking square roots.
x2 + 1 = 26
x2 = 25
x= 5, -5
Use desmos to find which regression model fits best:
x= -4,-2,6,8
y=6,5,1,0
Linear
What is the highest or lowest point of a quadratic function?
Solve this quadratic equation by factoring.
X2 + 16 = 10x
x2 - 10x + 16 =0
(x-2)(x-8)
x = 2 or x = 8
An object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. When will it reach it's max height?
2 sec
Solve this equation by taking square roots.
(x-4)2 - 16 = 0
(x-4)2 = 16
x- 4 =± 4
x = 0 or 8
Use desmos to find which regression model fits best:
x= -2, 0, 2, 3
y=128, 8, 1/2, 1/8
What do we call the shape of a quadratic graph?
Solve this quadratics equation by factoring.
x^2+7x+15=5
(x+2)(x+5)=0
x= -2 and x = -5
An object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. When will it hit the ground?
5 sec
Solve for x using the square root method.
2x^2+10=210
x = 10, -10
What is the correlation coefficient?
x= 2, 5, 12, 20
y= 50, 23, 30, 158
r=1
Write the quadratic equation
ax^2+bx+c
Solve by factoring:
4x^2-52x+169=121
x=12 x=1
An object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. What height will it be at at 4sec?
80 feet
Solve for x using the square root method
3x^2-27=0
x= -3 x=3
What is the line of best fit equation?
x= 2, 5, 12, 20
y= 50, 23, 30, 158
y=x^2-16x+78
Where do you find the Axis of Symmetry?
The x value in the vertex, line down the middle of the parabola