Quadratics review

Parts of a quadrtatic

100

Does this graph open up or down:

y=x^2+2

Up

200

Does this graph have a minumum or a maximum:

y=-3x^2+5x-3

Maximum

300

Determine the vertex of the quadratic:

x^+8x+15

(-4,-1)

400

Determine the axis of symmetry:

x^2-8x+15

x=4

500

Find the axis of symmetry:

x^2-6x-16

x=3

Shifting a quadratic

100

Using the parent function y=x², create an equation that shifts the graph up 2

x^2+2

200

Using the parent function y=x², create an equation that shifts the graph right 3

y=(x-3)^2

300

Using the parent function y=x², create an equation that shifts the graph down 5 and left 6

y=(x+6)^2-5

400

Using the parent function y=x², create an equation that stretch by a factor 4, moves 3 up, right 4.

y=4(x-4)^2+3

500

Using the parent function y=x², create an equation that reflects the graph across the x-axis, moves left 5

y=-(x+5)^2

Solutions to quadratics

100

How do we type an equation into desmos in order to solve it?

y=left side

y=right side

200

What do we look for when we type in an equation into desmos?

The x-value of an intersection

300

Find the solution to the following problem:

0=x^2+6x+9

The answer is -3

400

Find the solution to the following problem:

y^2=11y-28

The answer is 4 and 7

500

Find the solution to this problem:

x^2+10=0

No solution

Word Problems

100

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.

y=-16x^2+273x+11

17.46 seconds

200

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.

y=-16x^2+210x+75

764.1 feet

300

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.

y=-16x^2+178x+74

5.56 seconds

400

The dimensions of a rectangle are given as x+3 and x-8 with the area of 60. Determine what x will equal.

x=12

500

The dimensions of a rectangle are given as x+7 and x-1 with the area of 128. Determine what the longest side will be.

16

Extra!

100

Write down the quadratic formula

(-b+-sqrt(b^2-4ac))/(2a)

200

Simplify:

sqrt(8)

2sqrt(2)

300

What college did Mr. Kneer go to?

East Carolina University

400

What is the name of the team that we will be taking a field trip to?

Wilson Warbirds

500

What is the name of the gum on Kneer's Desk?

Mentos Gum