Let $b$ and $c$ be constants such that the quadratic $-2x^2 +bx +c$ has roots $3+\sqrt{5}$ and $3-\sqrt{5}$. Find the vertex of the graph of the equation $y=-2x^2 + bx + c$.

Let $b$ and $c$ be constants such that the quadratic $-2x^2 +bx +c$ has roots $3+\sqrt{5}$ and $3-\sqrt{5}$. Find the vertex of the graph of the equation $y=-2x^2 + bx + c$.

asked Apr 16, 2017 38.4k views

1 Answer

← Prev Question Next Question →

Related questions

asked May 1, 2022 113k views

Please! due in 1 hour! thanks! The graph of the equation $y =ax^2 + bx + c$, where $a$, $b$, and $c$ are constants, is a parabola with axis of symmetry $x = -3.$ Find $\frac{b}{a}$.

Drowa asked May 1, 2022

by Drowa

8.4k points

1 answer

15 votes

113k views

asked Jan 11, 2021 49.7k views

The quadratic $-6x^2+36x+216$ can be written in the form $a(x+b)^2+c$, where $a$, $b$, and $c$ are constants. What is $a+b+c$?

Grief asked Jan 11, 2021

by Grief

8.5k points

1 answer

0 votes

49.7k views

asked Jul 14, 2024 56.0k views

Let $f(x)$ be a monic polynomial such that $f(0)=4$ and $f(1)=8$. If $f(x)$ has degree $2$, what is $f(x)$? Enter your answer in the form $ax^2+bx+c$, where $a$, $b$, and $c$ are real numbers.

Prathamesh More asked Jul 14, 2024

by Prathamesh More

8.4k points

1 answer

4 votes

56.0k views

Search Qammunity.org