A few days ago
Find the axis of symmetry?
1. y=x^2+5x-7
2. y= -x^2-10x+7
Top 3 Answers
A few days ago
Favorite Answer
these equations are parabolas..the second one is upside down…
so graph them (make a table)
then the axis of symmetry will go right through the vertex parallel to the y axis and will be writen in the from of x= ?
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A few days ago
I’ll do the first one. The axis of symmetry goes thru the vertex and cuts the parabola in half.
Complete the square.
1. y = x² + 5x – 7
y + 7 + 25/4 = x² + 5x + 25/4
y + 53/4 = (x + 5/2)²
The vertex is (-5/2, -53/4).
The squared term is x so the parabola is vertical and the axis of symmetry will also be vertical. It’s equation is:
x = -5/2
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The second one works the same way.
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A few days ago
the easiest way to do this is to punch it into a graphing calculator like a Ti-83 or Ti-84. After you graph it if it is a mirror image in respect to the Y axis then the Y axis is the axis of symmetry. If it is a mirror image in respect to the X axis then it’s axis of symmetry is the X axis.
Also, since both equations appear to be quadratics they will both be symmetrical to the Y axis
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