Question

Using the graph as your guide, complete the following statement.

The discriminant of the function is _____.

(picture) http://i.imgur.com/ndBJZr1.png

Answer 1

So the discriminant uses the quadratic formula (what's under the square root)
\[b ^{2}-4ac\]

Your function here is \[f(x) = (x-3)^{2}+4\]

If we turn that into a polynomial we have (x-3)(x-3) or \[x ^{2}-6x+9\]

Answer 2

So our

a =1
b = -6
c = 9

Evaluate \[b ^{2}-4ac\] using those values.

Answer 3

\[(-6)^{2}-4(1)(9) \rightarrow ?\]

Answer 4

0

Answer 5

Do you see what I'm doing here? The discriminant is b^2-4ac

I turned the graphed function into it's f(x) form: f(x) = (x-3)^2

Then I turned it into a ax^2 + bx + c polynomial.

Which gives me the a, b, and c values.

Then I plugged in the values of a, b, and c into the discriminant b^2 - 4ac

This gives us a negative, positive, or zero solution?

Answer 6

yeah i see what you did. so it's a zero solution?

Answer 7

Sure does!

Answer 8

thank you! :)

Answer 9

Np. =0)

Answer 10

could you help me another problem? @Cosmichaotic

(picture) http://i.imgur.com/vLB40xF.png

Answer 11

Let's do the same thing.

What does this graph represent as a function?

Let's call it graph f

So f(x) = ? to give us this graph?

Answer 12

f(x)=(x-4)^2+4?