Jane1521idn
Answered

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the quadratic function = x squared + 2x - 1 is expressed in vertex form as ​

Sagot :

Lorencejaymapaladidn

Answer:

Kung may isip ka Alam mo Yan

Nyle07idn

The answer is y = (x + 1)^2.

Step-by-step explanation:

The vertex form for a quadratic function is y = a(x - h)^2+ k. Furthermore, the vertex form of a quadratic function can be represented as a coordinate (h, k). Wherein, (h, k) is the same as with (x, y).

Note:

  • f(x) can also be written as y
  • h = horizontal change/ shift
  • k = vertical change/ shift

Solution:

Always follow this pattern, y = a(x - h)^2 + k.

y = x^2 + 2x + 1

y = (x^2 + 2x) + 1

  • Make (x^2 + 2x) into a perfect square trinomial form.

y = (x^2 + 2x + 1) + 1 - 1

  • Make (x^2 + 2x + 1) into a square of binomial form, then combine the outside terms.

y = (x + 1)^2

  • Therefore, I can conclude that the coordinate of this vertex is (-1,0).

- Hope it helps.

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