Question

5. Jessica is building a model rocket for her physics class. After studying the flight path of her rocket, she has

concluded that she wants her rocket to achieve a maximum height of 50 ft. The equation for her rocket is
-3x² + 6x + 48. Will Jessica's rocket clear 50 ft?: (Hint Find the vertex of the equation to find the maximum
height of the rocket)

Answer 1

Jessicas rocket will reach 51ft.

Step-by-step explanation:
the quadratic equation in standard form is
y=ax^2+bx+c
and to find the vertex the formula is
-b/2a

-3x^2+6x+48
a=-3
b=6
c=48

now u just substitute the numbers in the letters so

-b/2a=
-6/2(-3)=
-6/-6= 1

now u substitute 1 where x is

-3x^2+6x+48=
-3(1)^2+6(1)+48=
-3+6+48=51

so the maximum is 51.

I hope this helps!!!!