algebra help needed

Question

Find the x- and y-intercepts for the following quadratic function F(X)=-3x^2-3x+5 The y intercept is at (0,5). The x intercepts are at: Round your answers to three decimal places give the LARGER number first (___,0),(__,0)

Answer 1

The x intercepts of a function can be found by factoring the function, graphing, or using the quadratic formula. In this case, you will need to use either graphing or the quadratic formula, since this function isn't factorable.

First, we'll use the quadratic formula.

a, b and c (from the quadratic formula) are -3, -3, and 5, respectively. Plugging these values into the formula, we obtain

, which simplifies to . Since is not rational, we could leave it in this format, and our two zeroes would be . In decimal form, these two ordered pairs are (0, 0.884), (0, -1.884).

Alternatively, if using a graphing calculator is permitted, we can simply graph the function to find the two x-intercepts, which would yield the same decimal answer seen above, (0, 0.884), (0,-1.884).

Answer 2

This question is asking for the 2 roots of F(x)=0.

You will need to use the quadratic formula.

Answer 3

No X-intercepts because the graph doesn't cross the x-axis.