Determine the x-intercepts of the following equation. (x+1)(x-3)=y (0,-1) and (0,3) (-3,0) (0,3) (0,-3) (-1,0) and (3,0) (-1,0) and (-3,0)

Identify x-intercepts: Identify the x-intercepts. The x-intercepts occur where the graph of the equation crosses the x-axis, which is where y = 0. So, we set y to 0 and solve for x in the equation (x+1)(x-3) = y. 0 = (x+1)(x-3)Solve for x: Solve the equation for x. We have 0 = (x+1)(x-3). To find the x-intercepts, we set each factor equal to zero and solve for x. x + 1 = 0 or x - 3 = 0Find first x-intercept: Find the first x-intercept. Solving x + 1 = 0 gives us x = -1. So, one x-intercept is (-1, 0).Find second x-intercept: Find the second x-intercept. Solving x - 3 = 0 gives us x = 3. So, the second x-intercept is (3, 0).

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Determine the
x-intercepts of the following equation.

(x+1)(x-3)=y

(0,-1) and
(0,3)

(-3,0)

(0,3)

(0,-3)

(-1,0) and
(3,0)

(-1,0) and
(-3,0)

Determine the $x$ -intercepts of the following equation. $\newline$ $(x+1)(x-3)=y$ $\newline$ $(0,-1)$ and $(0,3)$ $\newline$ $(-3,0)$ $\newline$ $(0,3)$ $\newline$ $(0,-3)$ $\newline$ $(-1,0)$ and $(3,0)$ $\newline$ $(-1,0)$ and $(-3,0)$

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Math Problems

Algebra 2

Write a quadratic function from its x-intercepts and another point

Full solution

Q. Determine the

x

-intercepts of the following equation.

\newline

(x+1)(x-3)=y

\newline

(0,-1)

and

(0,3)

\newline

(-3,0)

\newline

(0,3)

\newline

(0,-3)

\newline

(-1,0)

and

(3,0)

\newline

(-1,0)

and

(-3,0)

Identify x-intercepts: Identify the x-intercepts. The x-intercepts occur where the graph of the equation crosses the x-axis, which is where $y = 0$ . So, we set $y$ to $0$ and solve for $x$ in the equation $(x+1)(x-3) = y$ . $0 = (x+1)(x-3)$
Solve for x: Solve the equation for x. $\newline$ We have $0 = (x+1)(x-3)$ . $\newline$ To find the x-intercepts, we set each factor equal to zero and solve for x. $\newline$ $x + 1 = 0$ or $x - 3 = 0$
Find first x-intercept: Find the first x-intercept. $\newline$ Solving $x + 1 = 0$ gives us $x = -1$ . $\newline$ So, one x-intercept is $(-1, 0)$ .
Find second x-intercept: Find the second x-intercept. $\newline$ Solving $x - 3 = 0$ gives us $x = 3$ . $\newline$ So, the second x-intercept is $(3, 0)$ .