The equation of parabola is y = 3x²- 12x+ 15.
<u>Step-by-step explanation:</u>
The equation of the parabola is given as y = x².
If it has a vertex then the equation can be written as,
y = a(x-h)² + k
where (h, k ) is the vertex and a is the stretching or compressing factor.
So here the vertex is (2,3) and it is vertically stretched by 3.
So the equation is given as,
y = 3(x-2)² + 3
y = 3(x² -4x+4) + 3
= 3x² - 12x + 12 + 3
y = 3x²- 12x+ 15 is the equation of the parabola.
Domain:
-4 ≤ x ≤ 3
or in different form:
x ∈ [-4; 3]
Fifty , 50 20+30=50, not sure if its asking much else
The key words you should notice when looking at this word problem are “less than.” This means that the order is flipped, so “3 less than k” means “k minus 3.”
The expression for the ratio is k-3:k+3
Hope this helps
