Certainly! The function rule y = x^2 + (-3) represents a quadratic function, where the input value x is squared and then the result is subtracted by 3 to get the output value y.
To understand how this works on a table of values, you can choose input values for x and calculate the corresponding output values for y using the given function. Let's go through an example:
Let's say we have the following inputs for x: -2, -1, 0, 1, 2.
1. For x = -2:
Substituting x = -2 in the function rule, we get:
y = (-2)^2 + (-3) = 4 - 3 = 1
So, when x = -2, y = 1.
2. For x = -1:
Substituting x = -1 in the function rule, we get:
y = (-1)^2 + (-3) = 1 - 3 = -2
So, when x = -1, y = -2.
3. For x = 0:
Substituting x = 0 in the function rule, we get:
y = (0)^2 + (-3) = 0 - 3 = -3
So, when x = 0, y = -3.
4. For x = 1:
Substituting x = 1 in the function rule, we get:
y = (1)^2 + (-3) = 1 - 3 = -2
So, when x = 1, y = -2.
5. For x = 2:
Substituting x = 2 in the function rule, we get:
y = (2)^2 + (-3) = 4 - 3 = 1
So, when x = 2, y = 1.
These pairs of (x, y) values form a table where the x values are the inputs and the y values are the corresponding outputs based on the function rule. Here's how the table would look:
| x | y |
|---|---|
| -2| 1|
| -1| -2|
| 0| -3|
| 1| -2|
| 2| 1|
So, this is how the table of values would look like for the given function rule y = x^2 + (-3).
Can you help me understand the table of values function rule y=x^2+(-3) how it works on the table if you can understand what I'm asking thank you
5 answers
In the answer you gave me for the table of values explanation what do the parenthesis mean
In the answer I provided, the parentheses "( )" are used to group terms together in the mathematical expression.
Specifically, in the given function rule y = x^2 + (-3), the parentheses around (-3) indicate that the number -3 should be treated as a single term, separate from the x^2 term.
This is useful for clarity, as it explicitly shows that we are subtracting 3 from the x^2 term, rather than combining x^2 and -3 together without clarifying the operation.
So, in this case, the parentheses are used to distinguish the terms in the equation and show that (-3) should be subtracted.
Specifically, in the given function rule y = x^2 + (-3), the parentheses around (-3) indicate that the number -3 should be treated as a single term, separate from the x^2 term.
This is useful for clarity, as it explicitly shows that we are subtracting 3 from the x^2 term, rather than combining x^2 and -3 together without clarifying the operation.
So, in this case, the parentheses are used to distinguish the terms in the equation and show that (-3) should be subtracted.
Oh that makes sense thank you
You're welcome! I'm glad it makes sense now. Don't hesitate to ask if you have any more questions. I'm here to help!
1 answer