Question

Hello I am in Algebra 1 takening the 2nd half this school year with Connections academy, I am working on some extra credit points. Right now Im working on the quadratic functions and equations practice #4.
Find the axis of symmetry for y=5x^2-7x+2.
Could someone please explain how to come to the correct answer?? Thanks!

Answer 1

half way between the x intercepts is the axis of symmery

Answer 2

Okay I imput the equation into a graphing calculator and the answers came out to be 0.7,-0.45

Answer 3

I get x = 7/10

Answer 4

not sure where you're getting the -.45

Answer 5

Thats what the graphing calc gave me. The test says x= 7/10 i think the -.45 is the y part of it Im not sure

Answer 6

This is a parabola. You can complete the square and find the x-axis of the vertex and a vertical line through the vertex will be the axis of symmetry. It is x = -b/2a = 7/10

Answer 7

okay that sorta makes sense

Answer 8

Yes the vertex is at (0.7, -0.45)

Answer 9

but it only let me choose one, so the axis of symmetry would be x and x would be 7/10

Answer 10

The equation for the axis of symmetry is x = 7/10

Answer 11

okay that makes sense, i think i've got it

Answer 12

Thanks everyone :3

Answer 13

Your welcome.