Question

What is f(x) = 7x2 42x written in vertex form? f(x) = 7(x 6)2 – 6 f(x) = 7(x 6)2 – 42 f(x) = 7(x 3)2 – 9 f(x) = 7(x 3)2 – 63.

Answer 1

The vertex form of the function f(x) is $\rm f(x)= 7 ( x + 3 )^2 - 63$.

Given

Function; $\rm f(x) = 7x^2 + 42x$

What is the vertex form of function?

The vertex of a parabola is the point at which the parabola passes through its axis of symmetry.

The standard equation which represents the vertex form of the function is;

$\rm f(x) =(x-h)^2+k^2$

Where h and k are vertexes of the given parabola.

The function is in vertex form;

$\rm f(x)= 7 x^2 + 42 x\\\\ f(x) = 7 ( x^2+ 6 x ) \\\\ f(x)= 7 ( ( x^2+ 6 x + 9 ) - 9 ) \\\\ f(x)= 7 ( x + 3 )^2 - 63$

Hence, the vertex form of the function f(x) is $\rm f(x)= 7 ( x + 3 )^2 - 63$.

To know more about the Vertex form lick the link given below.

brainly.com/question/9070346