Could you please help me make a table of values for this equation? I am confused

Question

Y=-4x^2+14x+1

Answer 1

When we make a table of values, we look for the domain and range.  I should have mentioned this in a question you posted similar to this one. 

 

Since your function has no denominator, your values of x and y are limitless.  A table of values has an x value and y value respectively.

 

To make a table of values, choose any value of x.  Plug it into the function to determine y.

 

Here is an example:

 

Let's choose x=0.  Plug in 0 where ever you see x in the function.

 

y = -4(0)² + 14(0) + 1

y = 0 + 0 + 1

y = 1

 

 

The first value in the table is

 

x = 0,  y = 1

 

 

Lets do another one.  Choose x = 1.

 

 

y = -4(1)² + 14(1) + 1

y = -4(1) + 14 + 1

y = -4 + 14 + 1

y = 11

 

The second value in the table is

 

x = 1 , y = 11

 

 

Keep repeating this process, and you will have your table of values.