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

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) (Show Source): You can put this solution on YOUR website!
Consider the parabola

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:
....complete square
......

-> and , so x -coordinate of the vertex is

Compute the coordinates of the vertex: done above
(,)

compute the y-intercept as a point:
y-intercept where

(,)
find the point symmetric to the y-intercept
axis of symmetry is , 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:
(,)

Answer by MathTherapy(10551) (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:

Axis of symmetry:
y-coordinate of vertex:
Coordinates of the vertex:
Substitute 0 for x in the equation, and compute to get the y-intercept!
RELATED QUESTIONS
y=x^2+6x+3 What is the axis of symmetry? x=x= Compute the coordinates of the vertex: (( , (answered by greenestamps)
what are the vertex and axis of symmetry of the parabola y=x^2... (answered by richwmiller)
what are the vertex and axis of symmetry of the parabola... (answered by ewatrrr)
What is the vertex, axis of symmetry, focus, and directrix of the parabola... (answered by MathLover1)
What is the vertex and the axis of symmetry of the parabola... (answered by lwsshak3)
what is the axis of symmetry and vertex of he parabola represented by {{{ y=x^2-16x+63... (answered by Love math)
A parabola has intercepts of x = -2, x = 3, and y = -4. a. Write the intercept form of (answered by josgarithmetic,Edwin McCravy)
find algebraically the equation of the axis of symmetry and the coordinates of the vertex (answered by Alan3354,nerdybill)
Find algebraically the equation of the axis of symmetry and the coordinates of the vertex (answered by lwsshak3)