Quadratic unit review

Master quadratic equations! Review vertex, zeros, range, and transformations. Practice writing equations.

Determine the key attributes for the following quadratic equations. Domain has not been include but remember for “y= ” quadratics your domain will be All Real Numbers / x ∈ R / -∞<x<∞ Vertex (-4, -16) Min zero (0, -8) Zero (0,0) Axis of Symmetry x=-4 Range: y greater than or equal to zero Vertex (-5,0) Axis of Symmetry x=-5 Max zero (0, -5) Range: y less than or equal to 0 Vertex: ( -2, 72) Axis of Symmetry x=-2 Max* Range: y less than or equal to 72 Zero ( 4,0) Zero ( -8,0) Vertex ( -2, 128) Axis of Symmetry x= -2 Max** Range: y less than or equal to 128 Zero (6,0) Zero (-10,0) State the transformations necessary to transform the graph of f(x) into g(x). You will state the effects of the a, b, c and d using the following word choices: shift, up, down, left, right, reflected, x axis, y-axis, vertical compression, vertical stretch, horizontal compression, horizontal stretchf(x)=x2f(x)=—3 (x+1)2 +1 The negative sign before the ‘a’ tells me that there is a reflection about the x-axisThe ‘a’ tells me that there is a vertical stretchThe ‘c’ tells me that there is a shift to the leftThe ‘d’ tells me that there is a shift up. State the transformations necessary to transform the graph of f(x) into g(x). You will state the effects of the a, b, c and d using the following word choices: shifted, up, down, left, right, reflected, x axis, y-axis, vertical compression, vertical stretch, horizontal compression, horizontal stretchf(x)=x2f(x)=—(1 +1 The negative sign before the ‘a’ tells me that there is a reflection about the x-axisThe ‘b’ tells me that there is a horizontal stretchThe ‘c’ tells me that there is a shift to the leftThe ‘d’ tells me that there is a shift up. State the transformations necessary to transform the graph of f(x) into g(x). You will state the effects of the a, b, c and d using the following word choices: shifted, up, down, left, right, reflected, x axis, y-axis, vertical compression, vertical stretch, horizontal compression, horizontal stretchf(x)=x2f(x)=—1 -1 The negative sign before the ‘a’ tells me that there is a reflection about the x-axisThe ‘a’ tells me that there is a vertical compressionThe ‘c’ tells me that there is a shift to the leftThe ‘d’ tells me that there is a shift down . State the transformations necessary to transform the graph of f(x) into g(x). You will state the effects of the a, b, c and d using the following word choices: shift, up, down, left, right, reflected, x axis, y-axis, vertical compression, vertical stretch, horizontal compression, horizontal stretchf(x)=x2f(x)=-(2(x+3))2 +1 The negative sign before the ‘a’ tells me that there is a reflection about the x-axisThe ‘b’ tells me that there is a horizontal compressionThe ‘c’ tells me that there is a shift to the leftThe ‘d’ tells me that there is a shift up down up up up <—— does it open up or down (-10,0) (-7,0) (-8,0) (-2,0) <—- zero on the left (6,0) (-4,0) (-1 (7 <— zero on the right Given the following vertex and point write the quadratic equation in standard form.Vertex ( -1, 6)Point ( 1, -6) y= -3 x^2 - 6 x + 3 Given the following vertex and point write the quadratic equation in standard form.Vertex (8,10)Point ( 10, -62) y= -18 x^2 + 288 x - 1142 Given the following vertex and point write the quadratic equation in standard form.Vertex ( 5,7)Point ( 7,15) y= 2 x^2 - 20 x +57 Given the following vertex and point write the quadratic equation in standard form.Vertex (1, -6)Point ( -2, 12) y= 2 x^2 - 4 x - 4