Question

Why does the value of $b$ cause parabola to shift down and left if positive and down and right if negative?

score 3.4k · Answer 1 · 2026-04-13 17:46:04

3.4k

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Why does the value of $b$ cause parabola to shift down and left if positive and down and right if negative?

Published on 13 Apr 2026 - 17:46

score 110 · Answer 2 · 2026-04-21 20:22:23

110

Views

Solving over-determined systems of quadratics in 3 dimensions

Published on 21 Apr 2026 - 20:22

score 140 · Answer 3 · 2026-04-13 07:29:12

140

Views

Whole number roots of a polynomial equation with a prime constant term

Published on 13 Apr 2026 - 7:29

score 95 · Answer 4 · 2026-05-03 21:07:14

95

Views

Integer solution of $\tfrac ax+\tfrac by=\tfrac cz$ for pairwise coprime positive integers $a$, $b$ and $c$.

Published on 03 May 2026 - 21:07

score 88 · Answer 5 · 2026-04-14 02:05:32

88

Views

solving complex roots for a particular equation

Published on 14 Apr 2026 - 2:05

score 43 · Answer 6 · 2026-04-16 11:46:28

43

Views

Solving simultaneous equations with multiple variables.

Published on 16 Apr 2026 - 11:46

score 95 · Answer 7 · 2026-04-12 05:16:17

95

Views

I am having a difficult time understanding what I am doing wrong with quadratics. $5x^2-15x-4=0$

Published on 12 Apr 2026 - 5:16

score 49 · Answer 8 · 2026-04-11 10:21:34

49

Views

How to check for range condition when a equation containing other function is converted into quadratic?

Published on 11 Apr 2026 - 10:21

score 37 · Answer 9 · 2026-04-15 06:09:31

37

Views

If $a, b, c$ are in GP, then the equations $ax^2+2bx+c=0$ and $dx^2+2ex+f=0$ have a common root if $\frac{d}{a}, \frac{e}{b}, \frac{f}{c}$ are in...

Published on 15 Apr 2026 - 6:09

score 76 · Answer 10 · 2026-04-13 01:46:27

76

Views

Solve the given system of quadratic equations

Published on 13 Apr 2026 - 1:46

score 58 · Answer 11 · 2026-04-14 19:48:21

58

Views

Proving complex numbers identity using, $\sqrt{-1-\sqrt{-1-{\sqrt{-1...}}}}$

Published on 14 Apr 2026 - 19:48

score 133 · Answer 12 · 2026-04-12 17:09:03

133

Views

Why do we not consider the case where $u$ and $v$ in the factored form $(x+u)(x+v)$ are fractions?

Published on 12 Apr 2026 - 17:09

score 420 · Answer 13 · 2026-04-12 09:00:12

420

Views

Let a, b and c be odd positive integers . Show that the quadratic equation ^2++=0 has no rational solution.

Published on 12 Apr 2026 - 9:00

score 71 · Answer 14 · 2026-04-16 02:29:54

71

Views

Proof by contradiction : $n^3 −n−6 = 0$ means $m^3 − m − 6 ≠ 0$ when $m≠n$

Published on 16 Apr 2026 - 2:29

score 115 · Answer 15 · 2026-03-25 15:43:47

115

Views

Voronoi vertex of points along a parabola at it's focus

Published on 25 Mar 2026 - 15:43

List Question

Why does the value of $b$ cause parabola to shift down and left if positive and down and right if negative?

Solving over-determined systems of quadratics in 3 dimensions

Whole number roots of a polynomial equation with a prime constant term

Integer solution of $\tfrac ax+\tfrac by=\tfrac cz$ for pairwise coprime positive integers $a$, $b$ and $c$.

solving complex roots for a particular equation

Solving simultaneous equations with multiple variables.

I am having a difficult time understanding what I am doing wrong with quadratics. $5x^2-15x-4=0$

How to check for range condition when a equation containing other function is converted into quadratic?

If $a, b, c$ are in GP, then the equations $ax^2+2bx+c=0$ and $dx^2+2ex+f=0$ have a common root if $\frac{d}{a}, \frac{e}{b}, \frac{f}{c}$ are in...

Solve the given system of quadratic equations

Proving complex numbers identity using, $\sqrt{-1-\sqrt{-1-{\sqrt{-1...}}}}$

Why do we not consider the case where $u$ and $v$ in the factored form $(x+u)(x+v)$ are fractions?

Let a, b and c be odd positive integers . Show that the quadratic equation ^2++=0 has no rational solution.

Proof by contradiction : $n^3 −n−6 = 0$ means $m^3 − m − 6 ≠ 0$ when $m≠n$

Voronoi vertex of points along a parabola at it's focus

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