Question

Can you Help me please
Learning Task 4. Illustrate the graphs of the following quadratic functions then
analyze the effects from each other.
1.y=3x²
2.y=3x²-3
3.y=3x²+3
4.y=3(x-3)²+1
5.y=3(x+3)²-1​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The graphs of the given quadratic functions are shown in the attachment.

Given:

• Quadratic functions

1. y=3x²
2. y=3x²-3
3. y=3x²+3
4. y=3(x-3)²+1
5. y=3(x+3)²-1

To find:

• Illustrate the graphs of the following quadratic functions then analyze the effects from each other.

Solution:

Step 1: Graph of y=3x²

it is an upward parabola having vertex at (0,0)

We can plot it from values also.

put x=0

so, y=0

(0,0)

put x=1

y=3

(1,3)

put x=-1

y=3

(-1,3)

put x=2

y=12

(2,12)

put x=-2

y=12

(-2,12)

Mark these points on graph and join to plot y=3x²

Step 2:

Graph of y=3x²-3

This graph is same as y=3x² but shifted 3 points downward on y-axis.

This can also be plotted by values.

Step 3:

Graph of y=3x²+3

This graph is same as y=3x² but shifted 3 points upward on y-axis.

This can also be plotted by values.

Step 4:

Graph of y=3(x-3)²+1

This graph is same as y=3x² but shifted towards 1 place right 3 points upward towards +y-axis.

This can also be plotted by values.

Step 5:

Graph of y=3(x+3)²-1

This graph is same as y=3x² but shifted towards 1 place left 3 points downward towards -y-axis.

This can also be plotted by values.

All the graphs are attached.

Thus,

Illustration of the graphs of the given quadratic functions are plotted and analysis of the effects from each other has been done.

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