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sson Check-in #12test/quiz is accepting submissions until Wednesday, September 16, 2020 at 11:59 pmShow instructionsQuestion 3 of 3 | Page 3 of 3Question 3 (1 point)Given the function g(x) = 2(x + 6)2. 3 describe the transformations that occur. Match each parameter (a, h,and k) to its correct descriptionColumn AColumn Ba causes the parabola to open up.1.The 'k' parameter2The 'a' parameterb. causes the parabola to shift 3 units up.3.The 'h' parameterc. causes the parabola to shift 3 units down.d. causes the parabola to shift 6 units to the right.e causes the parabola to open down.1. causes the parabola to shift 6 units left.

Answer :

We are given a function of the form:

[tex]g(x)=2(x+6)^2-3[/tex]

which needs to be compared to a standard form of a parabola in vertex form:

[tex]f(x)=a(x-h)^2+k[/tex]

where (h,k) are the coordinates of the vertex

So, the parameter "a" (in our case "2") represents how steep the branches of the parabola are, and its sign (in our case positive) indicates that the branches of the parabola open upwards.

The parameter "h" (in our case "-6") indicates that there is a horizontal shift 6 units to the left.

The parameter "k" (in our case "-3") indicates that there is a vertical shift down in 3 units.

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