1.identify the x- and y-intercepts for y = x2 + 9x + 20. a. x-int : (–4, 0), (–5, 0); y-int : (0, 20) b. x-int : (20, 0); y-int : (0,–4), (0, –5) c. x-int : (0, 20); y-int : (–4, 0), (–5, 0) d. x-int : (4, 0), (5, 0); y-int : (0, 20)

The answer is the option A

Step-by-step explanation:

we have

we know that

The y-intercept is the value of y when the value of x is equal to zero

The x-intercept is the value of x when the value of y is equal to zero

Using a graphing tool

see the attached figure

The solution is the option A

The x-intercept are and

The y-intercept is the point

The answer is A.x-int : (–4, 0), (–5, 0); y-int : (0, 20)

To find the X and Y interceptions of a function, we need to calculate when the function tends to 0.

To identify the X interception we have to make Y equal to 0, so we have the first equation:

- This equation is a quadratic equation and it can be easily solved by using the quadratic formula.

Quadratic formula :

Where:

- a is equal to the quadratic term coefficient

- b is equal to the lineal term coefficient

- c is equal to the constant number

So, from our quadratic equation we know that:

By substituting in the quadratic formula, we have:

So, we know that x tends to 0 at -4 and -5

X intercepts at (-4,0) and (-5,0)

In order to know when y intercepts, we have to make x equal to 0

Making x equal to 0, we have

So, now we know that y tends to 0 at 20

Y intercepts once at (0,20)

Have a nice day!