SOLUTION: Consider the parabola y=x2−6x+4. What is the axis of symmetry? x= Compute the coordinates of the vertex: ( , ) compute the y-intercept as a point: ( , ) find the po

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Question 1159743: Consider the parabola y=x2−6x+4.
What is the axis of symmetry? x=
Compute the coordinates of the vertex: (
,
)
compute the y-intercept as a point: (
,
)
find the point symmetric to the y-intercept:

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Consider the parabola
y=x%5E2-6x%2B4
What is the axis of symmetry?
The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
so, write your equation in vertex form: y=a%28x-h%29%5E2%2Bk
y=%28x%5E2-6x%29%2B4....complete square
y=%28x%5E2-6x%2Bb%5E2%29-b%5E2%2B4......b=6%2F2=3
y=%28x%5E2-6x%2B3%5E2%29-3%5E2%2B4
y=%28x-3%29%5E2-9%2B4
y=%28x-3%29%5E2-5->h=3 and k=-5, so x -coordinate of the vertex is

x=3

Compute the coordinates of the vertex: done above
(3,-5)

compute the y-intercept as a point:
y-intercept where x=0
y=0%5E2-6%2A0%2B4
y=4
(0,4)
find the point symmetric to the y-intercept
axis of symmetry is x=3, so axis is three units to the right from the y-intercept, and the point symmetric to the y-intercept will be three more units to the right from axis at:
(6,4)


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Consider the parabola y=x2−6x+4.
What is the axis of symmetry? x=
Compute the coordinates of the vertex: (
,
)
compute the y-intercept as a point: (
,
)
find the point symmetric to the y-intercept:
matrix%281%2C3%2C+y%2C+%22=%22%2C+x%5E2+-+6x+%2B+4%29
Axis of symmetry:
y-coordinate of vertex:
Coordinates of the vertex: highlight_green%28matrix%281%2C2%2C+%22%283%2C%22%2C+%22-+5%29%22%29%29
Substitute 0 for x in the equation, and compute to get the y-intercept!