Parts of a quadrtatic
Does this graph open up or down:
y=x^2+2
Up
Using the parent function y=x2, create an equation that shifts the graph up 2
x^2+2
Which one is not another name for a solution to a quadratic?
A.) Root
B.) x-intercept
C.) y-intercept
D.) Zero
C.) y-intercept
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 a second.
y=-16x^2+273x+11
17.46 seconds
Write down the quadratic formula
(-b+-sqrt(b^2-4ac))/(2a)
Does this graph have a minumum or a maximum:
y=-3x^2+5x-3
Maximum
Using the parent function y=x2, create an equation that shifts the graph right 3
y=(x-3)^2
What do we look for when we type in an equation into desmos?
The x-value of an intersection or the x-intersect.
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
Simplify:
sqrt(8)
2sqrt(2)
Determine the vertex of the quadratic:
x^2+8x+15
(-4,-1)
Using the parent function y=x2, create an equation that shifts the graph down 5 and left 6
y=(x+6)^2-5
Find the solution to the following problem:
0=x^2+6x+9
The answer is -3
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
What college did Mr. McLawhorn go to?
University of North Carolina
Determine the axis of symmetry:
x^2-8x+15
x=4
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
Find the solution to the following problem:
x^2=11y-28
The answer is 4 and 7
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
Who is Mr. McLawhorn's favorite NBA player?
Stephen Curry
Find the axis of symmetry:
x^2-6x-16
x=3
Using the parent function y=x2, create an equation that reflects the graph across the x-axis, moves left 5
y=-(x+5)^2
Find the solution to this problem:
x^2+10=0
No solution
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
What is Mr. McLawhorn's fiancée's name?
Kayleigh