Transformations
What kind of transformation does this function contain, y= x^2 +5
Vertical shift up by 5 units
What is the axis of symmetry for, y = 2x^2+8x+5
axis of symmetry is x = -2
Graph x^2 - x - 6 = 0 and identify the roots
Roots are x=-2 and x=3
What is, sqrt(-1) equal to?
i
What kind of transformation does this function contain, y= -(x+7)^2?
Reflection upon the x-axis and Horizontal slide to the left by 7 units
What is the max/min for, y= -4x^2+8
Graph -2x^2 - 2 = 4x and identify the roots
The root is x=-1
What is 2i*4i?
-8
What kind of transformation does this function contain, y= 1/5x^2
Vertical Stretch by a factor of 1/5
What is the vertex for, y=1/2x^2+2x-6
Vertex (-2,-8)
Solve algebraically, 4x^2 -31 = 49
x = +/- 2sqrt(5)
Solutions are x = 2i
x = -2i
What kind of transformation does this function contain, y= 8x^2
Horizontal stretch by a factor of 8
What is the x intercepts of, y= -x^2+6x
x-intercepts (0,0) and (6,0)
Solve Algebraically, 3x^2 + 9 = 0
No real solutions
What are the complex solutions to, 2x^2 - 11 = -47
Solutions are x = 3i(sqrt2)
x = -3i(sqrt2)
What kind of transformation does this function contain, y=-3(x-4)^2 - 2
Reflection upon the x-axis, Horizontal stretch by a factor of 3, Vertical shift down by 2 units, Horizontal shift to the right by 4 units
Identify all characteristics of, y = x^2 - 4x - 5
Axis of symmetry x=2
Vertex (2,-9)
Y-intercept (0,-5)
x-intercepts (5,0) and (-1,0)
Opens upwards
Solve Algebraically, (2/5)(x+3)^2 = 5
Roots x = -3 + (5/2)(sqrt2)
x = -3 - (5/2)(sqrt2)
What are the roots of f(x) = 4x^2 +20
Roots are x = i(sqrt5)
x = -i(sqrt5)