posted by .

1.) Determine the equation of the axis of symmetry.
y = -5x2 - x + 9

2.) Determine the equation of the axis of symmetry.
y = -6x2 + 3x - 4

• Algebra 1B--Check Please! -

I assume you have not done calculus before.
To find the axis of symmetry of a polynomial of second degree (quadratic), we only have to complete the squares, which will then give the coordinates of the vertex in the form V(h,k) where
y=a(x-h)²+k
and a is another constant.

Starting with
y = -5x2 - x + 9
we write
y=-5(x²+2(x/10))+9
=-5(x+1/10)²+5/100 +9
=-5(x+1/10)² +9.05
Therefore h=-1/10, k=9.05, and
V(-1/10,9.05)
or the axis of symmetry is x=-1/10

I will leave #2 for you as practice.

• Algebra 1B--Check Please! -

Thanks! so number two is wrong?

• Algebra 1B--Check Please! -

#2 is not correct.
You can follow the steps above and try again.

Similar Questions

1. Alegrba

Please check my answers. Also, can I see some graphs of y-axis symmetry, orgin of symmetry, or neither?
2. Algebra-Polynomails

Please explain to me orgin of symmetry, y-axis semmetry, or if its neither. 1. Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. f(x) = 4x^2 - x^3 -this is how I did it: f(x)=(-4x^2)-x^3,I …
3. symmetry help

find any intercepts of the graph of the given equation. determine whether the graph of the equation possesses symmetry with respect to the x-axis, y-axis, or orgin |x|+|y|=4
4. Algebra

Find the vertex and the axis of symmetry for the parabola with the given equation y=5x2-30+47....
5. Algebra

Find the axis of symmetry for y=x^2+4x-7 Find the axis of symmetry for y=3x^2-18x+1 Find the axis of symmetry for y=5x^2+10+3 Determine if the vertex is a maximum or minimum and identify it y=2x^2-3 Determine etc etc for y=-x^2-2x …

find the slant asymptote of the graphof the rational function. 1.f(x)=x^2-x-2/x-7 y=?
7. ALG.

Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola given by the equation. x = − 1-3y^2 + 4 vertex (x, y) = axis of symmetry ____ Sketch the graph
8. ALG. REPOST TYPO

Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola given by the equation. x = −1/3y^2+4 vertex (x, y) = axis of symmetry Sketch the graph.
9. math

1 identify the coordinates of the vertex and the equation of the axis of summetry of the parabola x=2 (y-1)^2+3 A. The vertex of the parabola is (1,3), and the equation of the axis of symmetry B. the vertex of the parabola is (3,1) …
10. calculus

A parabola ,f, intersect the x axis at A and B and the y axis at C. The axis of symmetry of the parabola has the equation x=-3.The line through A and C has the equation g(x)=x+7. Determine the coordinates of A,B and C

More Similar Questions