Question

f(x)=2x^2+20x+46


Write the quadratic function in the form f(x)=a(x-h)^2+k

Answer 1

@Jim766 last thing I don't understand

Answer 2

since I know the vertex is -5,-4 is there a way to shortcut?

Answer 3

yes there is a short cut.
what is the greatest common factor?

Answer 4

-1?

Answer 5

hmmm how do you know is -5 and -4 anyway?

Answer 6

https://www.mathway.com/

Answer 7

no...
what number divides evenly into 2, 20 & 46

Answer 8

2

Answer 9

hmmm I didn't get that

Answer 10

2 is the a
the vertex (-5, -4) , the x(-5) is the h and the y (-4) is the k

y = 2(x + 5)^2 -4

Answer 11

so... are you doing "completing the square" to make a perfect square trinomial, or you just need the vertex of it?

Answer 12

I need it in the different form

Answer 13

well..you can get there by either method... .so dunno what you've covered

Answer 14

if you want the vertex... .well simply put \(\bf \textit{vertex of a parabola}\\ \quad \\
y = {\color{red}{ a}}x^2+{\color{blue}{ b}}x+{\color{green}{ c}}\qquad

\quad
\left(-\cfrac{{\color{blue}{ b}}}{2{\color{red}{ a}}}\quad ,\quad {\color{green}{ c}}-\cfrac{{\color{blue}{ b}}^2}{4{\color{red}{ a}}}\right)\)

Answer 15

I can find the vertex, I just cheat

Answer 16

heheh

Answer 17

what about this one Jim? f(x)=-3x^2-24x-47

Answer 18

(-4,1) is the vertex

Answer 19

would the a be -1?