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Vladimir79 [104]
3 years ago
11

Can I eat some help on this please

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0
126 think i did it wrong though
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The function f(x)= x^2 is similar to g(x)= -3(x-5)^2+4. Describe the transformations. Show Graphs.
Bingel [31]

Answer:

The reflected across x-axis, stretched vertically by factor 3 and shifted 5 units right and 4 units up.

Step-by-step explanation:

The parent function is

f(x)=x^2

The given function is

f(x)=-3(x-5)^2+4               ... (1)

The transformations of a quadratic function is defined as

f(x)=k(x+a)^2+b                .... (2)

Where, k is vertical stretch or compression factor, a is horizontal shift and b is vertical shift.

If |k|>1, then graph stretch vertically if 0<|k|<1, then graph compressed vertically. If k<0 or negative, then the graph reflected across x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (1) and (2) it is clear that

k=-3,a=-5,b=4

k=-3<0, it means graph reflected across x-axis. |k|=3>1, so graph stretched vertically by factor 3.

a=-5<0, so the graph shifts 5 units right.

b=4>0, so the graph shifts 4 units up.

Therefore the reflected across x-axis, stretched vertically by factor 3 and shifted 5 units right and 4 units up.

7 0
3 years ago
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