Analyze the graph of the cube root function shown

Mathematics

1 answer:

Greeley [361]1 year ago

7 0

The values of a, h, and k in the general equation is h=1, k=4 and a=2

<h3>What is parent function?</h3>

The function which can be transformed into different ways is the parent function.

On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).

The given function is

y =a³ √(x -h) + k

Put the coordinate (0,2) in the equation, we get

2 = a³ √(0 -h) + k..................(1)

Plug (1, 4), we have

4 = a³ √(1 -h) + k..................(2)

Plug (2, 6), we have

6 = a³ √(2 -h) + k..................(3)

On solving these three equations, we have

h=1

k=4

a=2

Thus, value of h is 1, k is 4 and a is 2.

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4/6 + 1/3 please help i need to get my grade up qwq

avanturin [10]

<h3>Answer: 1</h3>

Explanation:

1/3 is the same as 2/6

Imagine cutting a cake into thirds, then cutting each piece in two parts, so you'll have 6 pieces total. If you shade one third of the cake, then this is the same as shading 2/6 of a cake. The diagram shows this below.

Therefore 4/6 + 1/3 is the same as 4/6 + 2/6

At this point, we add the numerators over the common denominator

4/6 + 2/6 = (4+2)/6 = 6/6 = 1

Meaning we get a full cake since 4/6 is four slices and 2/6 is another two slices leading to 4+2 = 6 slices total out of the 6 overall.