Write all the functions in standard form and look at their constant terms.
A
Practice makes perfect
The constant term of a quadratic function corresponds to the value of c, when the function is written in standard form.
y=ax^2+bx + c
We need to determine which of the given functions has a constant term equal to -3. Functions B and D are already written in standard form. Let's check their constant terms.
Function
Constant Term
Equal to -3?
B: y=x^2-3x+ 3
3
NO
D: g(x)=-3x^2+3x+ 9
9
NO
Looking at the table above, we can discard functions B and D. Now, let's rewrite the other two functions in standard form. To do that, we multiply the factors and simplify the resulting expression. Let's begin with option A.
After simplifying, we see that the constant term of the latter function is -3. Therefore, the correct option is A. However, let's verify that option C is not correct.
