Question

What is the equation of the line of symmetry for the graph of y = –2(x – 4)^2 + 3?

Answer 1

Hi

Answer 2

hi can you help me? @Hero

Answer 3

Yes. Have you graphed this yet?

Answer 4

no :/

Answer 5

Not to worry. I graphed it for you:

https://www.desmos.com/calculator/e5qkzv643d

Answer 6

The line of symmetry occurs where two sides of the parabola on either side of the line of symmetry are mirror images of each other. The line of symmetry also intersects the vertex of the parabola.

Answer 7

Do you know the vertex of the parabola?

Answer 8

no i don't...

Answer 9

The equation y = –2(x – 4)^2 + 3 of the graphed parabola is written in vertex form y = a(x - h)^2 + k where (h,k) is the vertex. In other words, (h,k) = (4,3) is the vertex. Which means the line of symmetry occurs where x = h.

Answer 10

And what does h equal?

Answer 11

4?

Answer 12

Yes, correct. Thus the equation of the line of symmetry for the graph of y = -2(x - 4)^2 + 3 is x = 4

Answer 13

When solving x^2 – 12x = –13 by completing the square, what value is added to both sides of the equation?

Answer 14

@Hero

Answer 15

??..

Answer 16

You always add \(\left(\frac{b}{2}\right)^2 \) to both sides

Answer 17

In other words, simplify \(\left(-\frac{12}{2}\right)^2\). Then add that to both sides.