Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.

Complete The Square To Write Each Equation In Vertex Form Then State Whether The Vertex Is A Minimum Or A Maximum And Give Its Coordinates class=

Sagot :

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Given

y  x² - 8x + 14

(a)

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 8x

y = x² + 2(- 4)x + 16 - 16 + 14

y = (x - 4)² - 2 ← in vertex form

(b)

Since the multiplier a = 1 > 0 then vertex is a minimum

(c)

(h , k ) = (4, - 2 ) ← coordinates of vertex

 

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.