Answered

Join the conversation on IDNLearn.com and get the answers you seek from experts. Join our community to receive prompt, thorough responses from knowledgeable experts.

Which coordinates best represents the vertex of the graph first correct answer gets Brianliest

Which Coordinates Best Represents The Vertex Of The Graph First Correct Answer Gets Brianliest class=

Sagot :

Semsee45idn

Answer:

The vertex of the graph is:

  • the minimum point for a parabola that opens upwards
  • the maximum point for a parabola that opens downwards

As this parabola opens upwards, the vertex is the minimum point.

From inspection of the graph, vertex = (-3, -1)

Equation of the graph

From inspection we can see that the x-intercepts are when
x = -4 and x = -2

[tex]\sf x = -4 \implies x+4=0[/tex]

[tex]\sf x = -2 \implies x+2=0[/tex]

Therefore:

[tex]\sf y=(x+4)(x+2)[/tex]

Expand:

[tex]\sf \implies y=x^2+6x+8[/tex]

Nayefxidn

Answer:

[tex]B)f(x) = {x}^{2} + 6x + 8[/tex]

Step-by-step explanation:

Let [tex] f(x)=x^2[/tex] be the parent function. With transformation of function, firstly,we know that,

  1. We can move it up or down by adding a constant to the y-value

algebraically

  • g(x)=x²+C

Clearly, The parabola is moved down by 1 unit thus, C is -1. Therefore our function transforms to

  • f(x)=x²-1

secondly, we know that,

  • We can move it left or right by adding a constant to the x-value

algebraically,

  • g(x)=(x+C)²

in case,

  • C is positive, g(x) moves to the left and vise versa

Since the parabola is moved left by 3 unit, C is +3, and hence Our function eventually becomes

  • [tex]f(x) = (x + 3 {)}^{2} - 1[/tex]

simplifying it yields:

[tex]\implies \boxed{f(x) = {x}^{2} + 6x + 8}[/tex]

Hence,B is our required answer

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.