Respuesta :

Answer:

A) y = x² - 8x + 15

Step-by-step explanation:

We can see that the roots of this equation (the x-intercepts) are at x = 3 and x = 5.  Plugging this into factored form gives us

y = (x-r₁)(x-r₂)

y = (x-3)(x-5)

Multiplying, we have

y = (x)(x)-5(x)-3(x)-3(-5)

y = x²-5x-3x--15

y = x²-8x+15

The graph is a parabola, hence a quadratic function with x intercepts at 3 and 5 given by the equation y = (x - 3)(x - 5)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables

From the graph we can see that it is a parabola, hence a quadratic function. There are x intercepts at 3 and 5, hence:

y = (x - 3)(x - 5)

Find out more on equation at: https://brainly.com/question/2972832