1) Determine the GCF of the numbers 96 and 88
=> Decompose each number in their prime numbers:
=> 96 = (2^5)(3)
=> 88 = (2^3) (11)
=> GCF of 96 and 88 = 2^3 = 8
2) Determine the GCF of the letters, x^2 and x
=> x
3) Conclude the GCF of the terms is 8x
4) Now you can factor the expression by dividing each term by the GCF, 8x:
96 x^2 / (8x) = 12x
88x / (8x) = 11
So, the factored form is (8x) (12x + 11)
The Vertex of the parabola is V=(-5,-2)=(h,k)→h=-5, k=-2
This is a vertical parabola, then its equation has the form:
y=a(x-h)^2+k
Relacing h=-5 and k=-2
y=a(x-(-5))^2+(-2)
y=a(x+5)^2-2
When the x-value is -4, the y-value is 2. What is the coefficient of the squared expression in the parabola's equation:
a=?
x=-4, y=2→2=a(-4+5)^2-2
2=a(1)^2-2
2=a(1)-2
2=a-2
2+2=a-2+2
4=a
a=4
Answer: The coefficient of the squared expression in the parabola's equation is 4
Answer: Option B. 4
Answer:
C ..................................
