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lidiya [134]
3 years ago
9

Help me with one and two plz

Mathematics
1 answer:
agasfer [191]3 years ago
6 0

Answer:

1. parental function is g(x)=√x

2. parental function is g(x)=3√x

Step-by-step explanation:

1. To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Parent Function: g(x)=√x

Horizontal Shift: None

Vertical Shift: Down 9 Units

Reflection about the x-axis: None

Vertical Stretch: Stretched

2. Parent Function: g(x)=3√x

Horizontal Shift: Left 5 Units

Vertical Shift: Up 3 Units

Reflection about the x-axis: Reflected

Vertical Compression: Compressed

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Answer:

The answer is below

Step-by-step explanation:

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For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

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x:   200     400       600     800     1000

y:    10        20          30        40       50

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For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

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x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

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The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

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