Answer:
[tex]y=3(x+4.5)(x+2.8)[/tex] or [tex]y=3x^2+21.9x+37.8[/tex]
Step-by-step explanation:
we know that
The equation of a vertical parabola in factored form is equal to
[tex]y=a(x-x_1)(x-x_2)[/tex]
where
a is a coefficient
x_1 and x_2 are the roots or x-intercepts of the quadratic equation
In this problem we have
[tex]x_1=-4.5\\x_2=-2.8[/tex]
substitute
[tex]y=a(x+4.5)(x+2.8)[/tex]
Find the value of a
we have the y-intercept (0,37.8)
substitute the value of x and the value of y of the y-intercept in the equation and solve for a
[tex]37.8=a(0+4.5)(0+2.8)[/tex]
[tex]a=37.8/12.6\\a=3[/tex]
so
[tex]y=3(x+4.5)(x+2.8)[/tex]
Convert to expanded form
[tex]y=3(x^2+2.8x+4.5x+12.6)[/tex]
[tex]y=3x^2+21.9x+37.8[/tex]
Answer:
Go to the link below :)
Step-by-step explanation:
https://brainly.com/question/14380301
