Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

HELP PLEASE!!! What is the vertex of the parabola generated by the function
f (x) = 2x^2 - 4x + 3 ?

Sagot :

Answer:

VERTEX: (1,1)     Directrix: Y=0.88    

Step-by-step explanation:

View image loconte

Answer:

vertex = (1, 1 )

Step-by-step explanation:

Given the equation of a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = 2x² - 4x + 3 ← is in standard form

with a = 2 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1

Substitute x = 1 into f(x) for corresponding y- coordinate of vertex

f(1) = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

vertex = (1, 1 )

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.