Question

"Given the coefficient values of a, b, and c, create a quadratic function g(x) in standard form. a=1, b=4, c= 3" Please Urgent I need help. If you can, also please answer this: b)  Find the zeros of the function you created.

c)  Find the y-intercept of the function you created. But I can find it myself

Answer 1

g(x) =
`x^(2)` + 4x + 3; x = -3, -1; g(x) = 3

Explanation:

a) The standard form of a quadratic function is:

f(x) = a
`x^(2)` + bx + c

Now, replace the variables with the values given.

g(x) =
`x^(2)` + 4x + 3

b) To find the zeros of the function (x-intercepts), set y to 0 and solve for x:

g(x) =
`x^(2)` + 4x + 3

0 =
`x^(2)` + 4x + 3

(x + 3)(x + 1) = 0

(x + 3) = 0

x = -3

(x + 1) = 0

x = -1

c) To find the y-intercept of the function, set the x values to 0:

g(x) =
`x^(2)` + 4x + 3

g(x) = 3