Answer in screen shot below
Suppose that equation of parabola is
y =ax² + bx + c
Since parabola passes through the point (2,−15) then
−15 = 4a + 2b + c
Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c
Since parabola passes through the point (−3,−5), then
−5 = 9a − 3b + c
Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5
Solving it we get that
a = −2, b = −4, c = 1
Thus, equation of parabola is
y = −2x²− 4x + 1
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Rewriting in the form of
(x - h)² = 4p(y - k)
i) -2x² - 4x + 1 = y
ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)
iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)
iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)
v) -3(x + 7/6)² = y - 445/36
vi) (x + 7/6)² = -⅓(y - 445/36)
(Shifting -⅓ to RHS)
vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p)
So, after rewriting the equation would be -
(x + 7/6)² = 4(-⅛)(y - 445/36)
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I hope this is what you wanted.
Regards,
Divyanka♪
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What's the equation with x? I can't solve it without knowing where to find x....
Answer:
Step-by-step explanation:
Remark
Anything multiplied by 0 = 0. So the whole right side is 0.
(6x - 9)*3 - 1 = 0 Add 1 to both sides.
(6x - 9)*3 - 1 + 1 = 0 + 1 Combine
(6x - 9)*3 = 1 Divide both sides by 3
(6x - 9)*3/3 = 1/3 Simplify
(6x - 9) = 1/3 Remove brackets. Add 9 to both sides
6x - 9+9 = 9 1/3 Combine
6x = 9 1/3
6x = 28/3 Divide both sides by 6
6x / 6 = 28/3 // 6 Invert the 6 and multiply.
x = 28/3 * 1/6
x = 28/18
Answer
x = 14/9
