# How do you make a T chart for the problem y=2x^2+4x-5

### Solution:

First, you have to have a clear idea what y = 2x^2+4x-5 means. This is an equation that tells you that, for any value of x, you can find y by dividing by multiplying x by x, and then multiplying that by two, adding 2 times x and finally subtracting 5. Does that sound familiar?

Now, what is the table you have to make? You will list several values of x (which you will be using as x-coordinates in your graph), and for each one use the equation to find what y is. We’ll show the work:

For x = 1, **y** = 2*1*1 + 4*1 – 5 = 1

For x = 2, **y** = 2*2*2 + 4*2 – 5 = 11

For x = 3, **y** = 2*3*3 + 4*3 – 5 = 25

For x = 4, **y** = 2*4*4 + 4*4 – 5 = 43

For x = 5, **y** = 2*5*5 + 4*5 – 5 = 65

Do you see what we did there? We just replaced x in the equation by each value of x, and did the multiplication and addition.

Now your table will look like this:

x | y

–+—–

1 | 1

2 | 11

3 | 25

4 | 43

5 | 65

We’ve only shown the x,y values for 1 through 5, out there are an infinite number of x values that you could plug in, including negative numbers and fractions. You can use the resulting T chart to help you create a graph, which will look like this:

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**9th Grade, Homework Answers, Math Answers**.

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