Vertex to Standard
Convert the following problem to standard form.
y=2(x+2)2-6
y=2x2+8x+2
Convert the following problem to vertex form.
y=2x2+8x-14
y=2(x+2)2-22
Use the equation written on the board to identify the vertex and if it is a max, min, or neither.
Vertex (-4,-3) min
Use the equation written on the board to identify the vertex and if it is a max, min, or neither.
Vertex (5,2) neither
Find the quadratic equation in vertex form that passes through the points (-1,18); (1,6); and (2,9)
y=3(x-1)2+6
Convert the following problem to standard form.
y=-(x+6)2-10
y=-x2-12x-46
Convert the following problem to vertex form.
y=4x2+32x-23
y=4(x+4)2-87
Use the equation written on the board to identify the focus
(-4,1)
Use the equation written on the board to identify the focus.
(3,2)
Find the quadratic equation in vertex form that passes through the points (-4,-10); (-3,-11); and (-2,-10)
y=(x+3)2-11
Convert the following problem to standard form.
y=-(x-2)2+4
y=-x2+4x
Convert the following problem to vertex form.
y=5x2+60x+9
y=5(x+6)2-171
Use the equation written on the board to identify the directrix
y=-7
Use the equation written on the board to identify the axis of symmetry
y=2
Find the quadratic equation in vertex form that passes through the points (-5,0); (0,15); and (3,48)
y=(x+4)2-1
Convert the following problem to standard form.
y=4(x-5)2
y=4x2-40x+100
Convert the following problem to vertex form.
y=-2x2+12x+5
y=-2(x-3)2+23
Use the equation written on the board to identify the domain in both notations
(-inf,inf)
{xlxeR}
Use the equation written on the board to identify the domain in both notations
(-inf,5]
{xlx,5}
Write the quadratic equation that contains the focus (3,3) and directrix y=-3.
Convert the following problem to standard form.
y=-3(x+1)2+1
y=-3x2-6x-2
Convert the following problem to vertex form.
y=-x2-16x+7
y=-(x+8)2+71
Use the equation written on the board to identify the range in both notations
{yly>-3}
Use the equation written on the board to identify the range in both notations
(-inf,inf)
{ylyeR}
Write the quadratic equation that contains the focus (1,2) and directrix x=5.
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