Answer: B
Step-by-step explanation:
the parabola having (1,5) as vertex have as equation:
y=k*(x-1)²+5
It is passing through (2,8)
8=k*(2-1)²+5 ==> k+5=8 ==> k=3
equation is y=3(x-1)²+5
Answer B
Answer:
22x^2 -10xy + 12x
Step-by-step explanation:
To add and subtract polynomials, combine only like terms. When doing it vertically, stack polynomials and line up the same bases and exponents. Once this is done, simply add and subtract the coefficients.
10x^2 + 12xy + 4x
+ 12x^2 -22xy + 8x
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22x^2 -10xy + 12x
Here we added 10 + 12 = 22, 12 + -22 = -10 and 4 + 8 = 12.
Y=1/16x^2
multiplying both sides by 16 we get:
16y=x^2
The general form of a parabola is:
(x-h)^2=4p(y-k)
thus
4p=16
p=4
The parabola opens upwrd:
Focus: (h,k-p)
(0,0-4)
=(0,-4)
Directrix: y=-4
Answer:
(x + 5)² + (y - 4)² = 36
Step-by-step explanation:
The equation of a circle in standard form id
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 5, 4) and r = 12 ÷ 2 = 6 , thus
(x - (- 5))² + (y - 4)² = 6², that is
(x + 5)² + (y - 4)² = 36
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