Question

Use the description to write the quadratic function in vertex form.

Answer 1

The parent function f(x) = x2 is reflected across the x-axis and translated 6 units down to create h.


@mathmale

Answer 2

This one is similar but now we are trying to shift it across the x-axis

Answer 3

I'd like for you to do this:
Graph y=x^2, as before.
Graph y=-x^2.
Compare the two graphs. How would you describe what has happened to the graph of y=x^2?

Answer 4

It looks like it mirrored itself across the x-axis.

y = -x^2 is a reflection across the x-axis of y = x^2

Answer 5

Thanks for becoming my fan. I'm definitely one of yours.

Answer 6

Exactly! Now, what about that vertical shifting?
Start with y=x^2.
Reflect the graph about the x-axis and modify the equation accordingly.
Shift the graph downward 6 units and modify the equation accordingly.

Answer 7

Okay, so like this?

Answer 8

Again, beautiful, helpful graphs!! So, what will the final, modified equation describing this function be?

Answer 9

\[y = -x^2 - 6\]

Answer 10

Perfect. You're a fast learner and an accurate one.

Answer 11

Again, I encourage you to choose from the remaining problems that are giving you trouble and choose the ones you'd like to discuss with me or others on OpenStudy. If you like you could send me the problem statements privately.

Answer 12

Yeah, that would be nice. But for right now, I only have one more. Would you mind seeing if you could help me with it?

Answer 13

Go ahead. post it separately as before. In the meantime, I'm going to get an apple.