×

if $$f(x) = (3x^{3c-9}+2)^2$$ is a quadratic function, what is $$c$$?

Note by Cedie Camomot
2 years ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

I'm not sure but I think c = $$\frac { 10 }{ 3 }$$ because a quadratic function should be in a form of $$f\left( x \right) =a{ x }^{ 2 }+bx+c$$ and if the exponent of 3x is not 1 then if you square the expression, the result will not be a quadratic function so it should be 1

$$3c-9=1\\ 3c=10\\ c=\frac { 10 }{ 3 }$$

Once again. I am not sure and I am open for corrections :)

- 2 years ago