Equation of a parabola with vertex at (2, -1) is
y = a(x - 2)^2 - 1
Using the given point: -3 = a(4 - 2)^2 - 1
-2 = a(2)^2
4a = -2
a = -1/2
Therefore, required equation is
y = -1/2(x - 2)^2 - 1
y = -1/2(x^2 - 4x + 4) - 1
y = -1/2x^2 + 2x - 2 - 1
y = -1/2x^2 + 2x - 3
Answer:
3 > -8
Step-by-step explanation:
-8 -7 -6 -5 -4 -3 -2 -1 <u>0</u> 1 2 3 ....
-8< 3
Answer:
Step-by-step explanation:
Edith is x years old.
Her sister,Madison is six years older than her. This means that the age of Madison is x + 6
Their mother is twice as old as Madison. This means that the age of their mother is expressed as
2(x + 6)
= 2x + 12
Their aunt, Elizabeth is x years older than their mother. This means that the expression that represents Elizabeth's age in years is
2x + 12 + x
= 3x + 12
