Answer:
<h3>
f(x) = -x² + 20x - 96</h3>
Step-by-step explanation:
Parabola f(x) = ax² + bx + c passing through points (8,0) and (12,0) means that 8 and 12 are its root and (x-8) and (x-12) are its factors
So we get:
f(x) = a(x - 8)(x - 12)
The parabola passes through point (13, -5) that means if x=13 then f(x)=-5
So:
-5 = a(13 - 8)(13 - 12)
-5 = a(5)(1)
-5 = 5a
a = -1 {<0 so parabola opens down}
Therefore:
f(x) = -(x - 8)(x - 12)
And expanding:
f(x) = -(x² - 12x - 8x + 96)
So the standard form equation of the parabola:
<u>f(x) = -x² + 20x - 96</u>
Parallel lines
Lines that are always at a given distance from each other and never cross, is called the "parallel" line.
If a diagonal line (PS) interrupts two parallel lines and gives them equal angles, can say that these two lines are parallel. Because the angles are opposite to the vertex and has it opposite angles with other angle
Sorry i can not say this, Because the educational system is different
-6 7/8 /(-3 3/4)
55/8X4/15
11/6
1 5/6
