Savagehailey
Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Which function matches the graph?

A 2-dimensional graph with an x-axis and a y-axis is given. A parabolic curve is drawn whose axis of symmetry is parallel to y-axis and its vertex is at (1,-3); is passing through co-ordinates (3,1) and (-1,1).
A. f(x) = (x – 3)2 – 3
B. f(x) = (x + 1)2 – 6
C. f(x) = (x + 2)2 – 5
D. f(x) = (x – 1)2 – 3

Which Function Matches The Graph A 2dimensional Graph With An Xaxis And A Yaxis Is Given A Parabolic Curve Is Drawn Whose Axis Of Symmetry Is Parallel To Yaxis class=

Sagot :

fieryanswererft

vertex :  (1,-3)

coordinates : (3,1)  and  (-1,1)

parabola formula : y = a(x -h)² + k

  • (x, y) - from the coordinates
  • (h, k) - from the vertex

so given,

h = 1

k = -3

x = 3

y = 1

solve for a:

  • 1 = a(3 -1)² + (-3)
  • 1 = 4(a) - 3
  • 4(a) = 4
  • a = 1

Therefore equation:

y = (x -1)² - 3

check the graph for confirmation:

View image fieryanswererft
briamelia13

Answer: Graph the parabola y=x2−7x+2 .

Compare the equation with y=ax2+bx+c to find the values of a , b , and c .

Here, a=1,b=−7 and c=2 .

Use the values of the coefficients to write the equation of axis of symmetry .

The graph of a quadratic equation in the form   y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .

Substitute x=72 in the equation to find the y -coordinate of the vertex.

y=(72)2−7(72)+2    =494−492+2    =49 − 98 + 84     =−414

Therefore, the coordinates of the vertex are (72,−414) .

Now, substitute a few more x -values in the equation to get the corresponding y -values.

x y=x2−7x+2

0 2

1 −4

2 −8

3 −10

5 −8

7 2

Plot the points and join them to get the parabola

in short terms D.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.