Question

I need help with these questions for Quadratic functions

Answer 1

9514 1404 393

Explanation:

1. The general form of a quadratic in standard form* is ...

  $f(x)=ax^2+bx+c$

An example is ...

  $f(x)=2x^2+3x-5$

The constant c is the y-intercept, so is the easiest bit of information to obtain in this form.

__

2. The general form of a quadratic in vertex form can be written as ...

  $f(x)=a(x-h)^2+k$

An example is ...

  $f(x)=2(x -3)^2 -5$

The ordered pair (h, k) is the vertex of the parabola, so is easy to obtain in this form. Arguably, it may be easier to identify the line of symmetry, x=h, since that requires looking at only one constant, instead of two.

_____

* In the UK, "standard form" is vertex form.