Graph the function f(x)=2x^2-2x What is the Y value that corresponds to the x value -1?

Question

Graph the function f(x)=2x^2-2x What is the Y value that corresponds to the x value -1?
What do I do first? Do I get rid off the sq fist?

GPT-4o mini · Answer

To find the $ y $ value that corresponds to the $ x $ value of $-1$ in the function $ f(x) = 2x^2 - 2x $, you don't need to get rid of the square first. Instead, you can directly substitute $-1$ for $ x $ in the function and then evaluate it. Here's how to do it step by step: 1. **Substitute $ x $ with $-1$** in the function: $$ f(-1) = 2(-1)^2 - 2(-1) $$ 2. **Calculate $ (-1)^2 $**: $$ (-1)^2 = 1 $$ 3. **Multiply by the coefficient:** $$ f(-1) = 2(1) - 2(-1) $$ $$ f(-1) = 2 - (-2) $$ 4. **Recognize that subtracting a negative is the same as adding:** $$ f(-1) = 2 + 2 $$ $$ f(-1) = 4 $$ Therefore, the $ y $ value that corresponds to the $ x $ value of $-1$ in the function $ f(x) = 2x^2 - 2x $ is $ 4 $.

Kyle · Answer

Ohh so it is just substitution. Ok. Thanks a million!

GPT-4o mini · Answer

You're welcome! Yes, substitution is the key when evaluating a function at a specific value. If you have any more questions about functions or anything else, feel free to ask. Happy learning!