Transformations
This transformation is non-rigid.
What is dilation?
Factor: 4x^2+3x-10
What is (x+2)(4x-5) or (4x-5)(x+2)
A parabola that has a postive a value will open in which direction?
What is upwards?
Identify the 4 transformations: -4f(x+6)+12
What is reflection over the x-axis, vertical stretch, translation left, translation up?
Name the first 12 perfect squares.
What is 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144?
All points in Figure A are in the 1st Quadrant. If Figure A is reflected across the x-axis, name which quadrant it is now in.
What is 4th Quadrant/Quadrant IV
Solve using the Quadratic Formula: 8b^2-13b+6=5b^2
What is (13±√97)/6
1(x+1)^2-9
Solve for B.
What is 2?
Solve for d: √-63+16d
What is {7,9}?
This is a polygon with 7 sides.
What is a heptagon?
Which rotation causes a double sign change, but not a x or y value flip? CW and CCW answer.
What is 180 degrees?
Find- Axis of Symmetry, Domain, Range, Increasing (where), Decreasing (where), using the equation: y= 3x^2+6x-1
What is AOS: -1
Domain: All real numbers
Range: y ≥ -1
Increasing: x>-1 Decreasing x<-1
A bird flys from a tree. The height of the bird, y in feet, is related to the time after flight, x in seconds, by the given equation y= -5x^2+15x+60
What is the maximum height of the bird and the time that the bird reaches this? (Round to the nearest tenth)
What is 71.3 feet and 1.5 seconds?
Write the expression in radical form: x^⅚
What is 6√5?
A quadratic graph passes through (1,0), (5,0), and (3, -9).
Does this graph have a maximum or minimum value?
What is minimum?
Point Z (-10,7) is rotated 180 degrees. Name the new coordinate of Point Z'.
What is (10,-7)?
Solve by completing the square: -4x^2-83x = -3x+396
What is (x+10)^2 = 1
Profits of Company A: y= -2x^2+12x+32
Company B: y= 50x-273
Let x= time (years) and y= total profit, When will the profits of the two companies be the same? (Round to the nearest tenth if nessesary.)
What is 6.1 years?
Simplify √36x^6y^2
What is 6x^3y?
The order and degree of a rectangle.
What is 2 and 180 degrees?
A figure has been reflected over the line y=-x, translated to the right 5 units, and down 3 units. Write the rule using (x,y) = ____.
What is (x,y) = (-y+5,-x-3)?
Find the Standard, Intercept and Vertex form of the equation 3x^2+6x-3 (rounded to the nearest tenth if necessary)
What is Standard Form: 3x^2+6x-3
Intercept Form: 3 (x+1)^2-6
Vertex Form: 3 (x+2.4)(x-0.4)
With the following information, write the standard, vertex, and intercept forms of this parabola.
The vertex is (2.2,-16.2), the y-intercept is (0,8), the two solutions from left to right are (0.4,0) and (4,0).
What is Standard Form: 5x^2-22x+8
Intercept Form: (5x-2)(x-4)
Vertex Form: 5(x-2.2)^2-16.2
Write the expression equivalent to : 1/(2x+3)^-5/2
What is √(2x+3)^5?
Name all the equations for finding the axis of symmetry.
What is x=-b/2a, x=h, x=p+q/2