Savagehaileyidn
Answered

Connect with knowledgeable experts and enthusiasts on IDNLearn.com. Join our Q&A platform to get accurate and thorough answers to all your pressing questions.

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 :

Fieryanswererftidn

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
Briamelia13idn

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 appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.