Trivia and Intersections
Quadratics
Transformations from Graphs
Transformations from Equations
Equations from Transformations and Intersections
100
How many solutions to the equation
y = 4x2 + 2x +10
No solutions negative square root
100
What is the general shape of a Quadratic equation?
U - Shaped Parabola
100
What are the transformation from the parent function?
What is the equation of the blue graph?
y = (x+2)2
Horizontal Translation Left 2
100
The transformation that occurs in the quadratic function
f(x)=x^2+4
Vertical translation up 4 units
100
At what point(s) do these graphs intersect?
y = -3x2 -x + 10
y = x + 5
(-1,4)
(10/6 , 40/6) ~ (1.666, 6.666)
200
What is a real life example of a quadratic equation?
A ball dropping, distance of a car driving
200
What is the equation for the axis of symmetry using y = ax2 + bx + c
x = -b/(2a)
200
What is transformation from the parent function and equation of the blue graph?
Vertical Translation Down 3
y = x2 - 3
200
The transformation that occurs in the quadratic function
f(x)=(x-1)^2
Horizontal shift right 1 unit
200
At what point(s) do these graphs intersect?
y = x2
y = x
(1,1)
300
What fruit does Teacher Mandelyn eat during lunch almost everyday?
Pineapple
300
What are the Key Features of a Quadratic Function?
y-intercept
x-intercept(s) if any
axis of symmetry
vertex
300
What transformations occur from the parent function to the blue graph. What is the equation of the blue graph?
Horizontal shift right 3 and a vertical shift down 2
y = (x - 3)2 -2
300
The transformation that occurs in the quadratic function
f(x)=3x^2
Vertical dilation, stretch of 3
300
Write the equation for a quadratic function that has been horizontally translated right 1 unit and vertically shifted down 4 units
y=(x-1)^2-4
400
Given y = -x2 + 5x + 11 and y = 2x + 1
At what points do the lines intersect?
(-2, -3)
(5, 11)
400
What equation is used to find the solutions or roots of a quadratic equation?
Quadratic Formula
x = (-b+- squareroot2(b^2 - 4ac) )/ (2a)
400
What is the transformation from the parent function?
What is the equation of the blue graph?
A horizontal shift left 5 units and a vertical shift up 1 unit
y = (x+5)2 +1
400
The Transformations that Occur in the Quadratic Function
f(x)=1/4(x+5)^2-7
Vertical dilation compression of 1/4, a horizontal shift left 5, and a vertical shift left down 7
400
Write the quadratic function that has been vertically translated down 3 units, horizontally translated left 6 units, reflected over the x-axis, and vertically compressed by 1/2
y=-0.5(x+6)^2-3
500
Who just beat Alexander Volkanovski to take the UFC (Ultimate Fighter Championship) 145-Lb Featherweight Title?
Ilia Topuria
500
What is the vertex given y = -2(x - 4)2 + 5
(4,5)
500
What are the transformations from the parent function to the graph shown below. What is the equation of the blue graph?
A reflection over the x-axis, a horizontal shift right 3 units, and a vertical shift up 2 units
y = -(x-3)2 +2
500
The transformations that occur in the quadratic function
f(x)=-2(x-3)^2+4
Reflection across the x-axis, a vertical stretch of 2, a horizontal shift right 3 units, and a vertical shift up 4 units?
500
Write the quadratic function that has been reflected over the x-axis, has been vertically stretched by a factor of 4, horizontally translated 2 units to the right, and vertically translated 5 units down.
y=-4(x-2)^2-5