Rayleighivanlacadenidn
Answered

Magtanong at makakuha ng malinaw na mga sagot sa IDNStudy.com. Magtanong at makatanggap ng eksaktong sagot mula sa aming mga bihasang miyembro ng komunidad.

Determine the vertex of the parabola:

2x^2 - 36x + 164

Sagot :

Answer:

(9,1)

Step-by-step explanation:

I am assuming this is y = 2x² - 36x + 164

Let's solve it in two ways.

a. STANDARD FORM

The standard form of a function is y = ax² + bx + c and look, our problem is already in this form so we can now use the formula, -b/2a, to find the x coordinate (x = -b/2a is also the formula for the axis of symmetry). a = 2 b = -36

  • x = -(-36) / 2(2)
  • x = 36/4
  • x = 9

Now, let's go ahead and substitute this value of x to the original equation.

  • y = 2(9)² - 36(9) + 164
  • y = 162 - 325 + 164
  • y = 1

So, combining our values together into a coordinate, we'll have (9,1).

b. VERTEX FORM

For this one, we'll transform the equation a bit to turn it into its vertex form, that is, y = a(x - h)² + k, and from that we'll have our coordinate for the vertex which is (h,k).

y = 2x² - 36x + 164 » y = 2(x - 9)² + 1

This means that h = 9 and k = 1 so our vertex will be at (9,1).

Ang iyong aktibong pakikilahok ay mahalaga sa amin. Magpatuloy sa pagtatanong at pagbahagi ng iyong nalalaman. Sama-sama tayong lumikha ng isang masiglang komunidad ng pagkatuto. Umaasa kami na natagpuan mo ang hinahanap mo sa IDNStudy.com. Bumalik ka para sa mas maraming solusyon!