Find the line of symmetry for the parabola whose equation is y = 2x^2 - 4x + 1. Give the values of a, b, and c from the general form of the equation (2x + 1)(x - 2) = 0. What is the line of symmetry for the graph of y = -3x^2 + 12x - 11? What is the x-coordinate of the vertex of the parabola whose equation is y = 3x2 + 9x? Which of the following points lies on the graph of y = x^2 - 2x + 6? The line of symmetry of the parabola whose equation is y = ax2 - 4x + 3 is x = -2. What is the value of "a"?
ind the line of symmetry for the parabola whose equation is y = 2x^2 - 4x + 1
hey dad
it is once again \(-\frac{b}{2a}\) with \(a=2,b=-4\)
hello dear back from the rave already i see
yeah i popped a molly can i have ice cream for breakfast?
sure , but we are out of orange soda did you get \(x=1\) ?
yeah, but would it be -? or - 1/2?
oh whoops, nvm i see what i did wrong
\[-\frac{b}{2a}=-\frac{-4}{2\times 2}=1\]
i forgot the negatives cancelled
right
sorry dad still kinda rollin off the molly
you will develop early onset Alzheimers like me
Give the values of a, b, and c from the general form of the equation \[(2x + 1)(x - 2) = 0\]\[2 x^2-3 x-2=0\]
\[2 x^2-3 x-2=0\\ ax^2+bx+c=0\]
clear?
yes dad
What is the line of symmetry for the graph of y = -3x^2 + 12x - 11\[-\frac{b}{2a}=-\frac{12}{2\times (-3)}\]
let me know when you get \(x=2\)
i see -12/-6 = 2?
yes
What is the x-coordinate of the vertex of the parabola whose equation is \(y = 3x^2 + 9x\)? \[-\frac{b}{2a}=-\frac{9}{2\times 3}\]
what does -9/6 simplify to?
cancel a 3 top and bottom
let me know when you get \(-\frac{3}{2}\)
- 2/3?
you got it upside down
\[-\frac{9}{6}=-\frac{3}{2}\]
it only gives me these 3 options, -3, -1 1/2, -2/3
this is the equation \[y = 3x^2 + 9x\] right?
yes
ooh i see they want a mixed number
\[-\frac{3}{2}=-1\tfrac{1}{2}\]
ah i see
Which of the following points lies on the graph of y = x^2 - 2x + 6 got choices?
(-3,21), (-2,0), (-1,10)
\[ (-3)^2 - 2(-3) + 6=21\]
so first one is right didn't check the second one, hold on
no second and third are wrong only the first one
okay dad
The line of symmetry of the parabola whose equation is\( y = ax^2 - 4x + 3\) is \(x = -2\). What is the value of "a"?
\[-\frac{b}{2a}=-2\\ -\frac{-4}{2a}=-2\]
or \[\frac{4}{2a}=-2\] so \[-4a=4\]
-1?
yup
that it?
gonna make a new one, thanks for all your help daddy!
yw
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