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Solving by factoring
Projectile/Word Problems
Solving by taking square roots
Regression
Vocabulary
100

Solve this quadratics by factoring.

x2 + 2x = 3

x2 + 2x - 3 = 0

     = (x-1)(x+3) = 0


     x = 1 or x = -3


100

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

100

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.

100

Use desmos to find which regression model fits best:

x= 3, 5, 7, 9

y=-12, 0, 20, 48

Quadratic

100

What do we call the solutions to a quadratic equation?

The x-intercepts
200
To factor, the equation must be set equal to...?

ZERO


200

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

200

Solve this equation by taking square roots.

x2 + 1 = 26

x2 = 25


x= 5, -5

200

Use desmos to find which regression model fits best:

x= -4,-2,6,8

y=6,5,1,0

Linear

200

What is the highest or lowest point of a quadratic function?

The vertex
300

Solve this quadratic equation by factoring.

X2 + 16 = 10x

x2 - 10x + 16 =0

       (x-2)(x-8)

               x = 2 or x = 8

300

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

300

Solve this equation by taking square roots.

(x-4)2 - 16 = 0

(x-4)2 = 16

x- 4 =±  4 

x = 0 or 8

300

Use desmos to find which regression model fits best:

x= -2, 0, 2, 3

y=128, 8, 1/2, 1/8

Exponential
300

What do we call the shape of a quadratic graph?

A parabola
400

Solve this quadratics equation by factoring.

x^2+7x+15=5

(x+2)(x+5)=0

x= -2 and x = -5

400

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

400

Solve for x using the square root method.

2x^2+10=210

x = 10, -10

400

What is the correlation coefficient?

x= 2, 5, 12, 20

y= 50, 23, 30, 158

r=1

400

Write the quadratic equation

ax^2+bx+c

500

Solve by factoring:

4x^2-52x+169=121

x=12  x=1

500

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

500

Solve for x using the square root method

3x^2-27=0

x= -3    x=3

500

What is the line of best fit equation?

x= 2, 5, 12, 20

y= 50, 23, 30, 158

y=x^2-16x+78

500

Where do you find the Axis of Symmetry?

The x value in the vertex, line down the middle of the parabola