Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
Answer:
2y(7x + 4z)
Step-by-step explanation:
Consider the common factors of both terms
The gcf of 14 and 8 is 2
The gcf of xy and yz is y
Thus the gcf of both terms is 2y, thus
14xy + 8yz
= 2y(7x + 4z)
Answer:
28
Step-by-step explanation:
The midpoint is halfway, so if half the length is 14 then the full length is 28 (14 × 2 = 28)
Hope this helps!
Answer:
i think its 320
Step-by-step explanation:
i looked it up
