Let f(x)=3x^2+2.

Mathematics

2 answers:

Tomtit [17]2 years ago

6 0

Answer:

g(x) = 3x² + 7

Explanation:

Here the f(x) is translated up 5 units, so we shall increase y axis by + 5

so new equation: g(x) = 3x² + 2 + 5 ➛ g(x) = 3x² + 7

check the image given below. The red line is f(x) and blue line g(x)

Gelneren [198K]2 years ago

6 0

Answer:

g(x) = 3x² + 7

Step-by-step explanation:

If a function is translated 5 units up then:

g(x) = f(x) + 5

⇒ g(x) = 3x² + 2 + 5

⇒ g(x) = 3x² + 7

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13 and 15 solve each problem by graphing and slope intercept

mylen [45]

Answer: The answers are 13. (A) and 14. (B).

Step-by-step explanation: The calculations are as follows:

(13) The given equations are

$y=-\dfrac{3}{8}x-6,\\\\\\y=-\dfrac{13}{8}x+4.$

In the attached figure (a), these two lines are drawn. We can see that The lines intersect at the point P(8, -9). So, the solution to the pair of equations is (8, -9).

Thus, the correct option is (A).

(14) The given equations are

$y=-\dfrac{1}{7}x-1,\\\\\\y=-x+5.$

In the attached figure (b), these two lines are drawn. We can see that The lines intersect at the point Q(7, -2). So, the solution to the pair of equations is (7, -2).

Thus, the correct option is (B).