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oksian1 [2.3K]
3 years ago
9

If the point (-6, 10) lies on the graph of y=f(x) then which of the following points must lie on the graph of y=1/2f(x)?

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer:

(-6,5)

Step-by-step explanation:

we have

y=f(x) ----> the parent function

y=1/2f(x) ---> the new y-value will be 1/2 times the original value

The rule of the transformation of f(x) to 1/2f(x) is

(x,y) -----> (x,y/2)

substitute the given value

(-6,10) ------> (-6,10/2)

(-6,10) ------> (-6,5)

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3 years ago
1.Encuentra la ecuación de la circunferencia que tiene como ecuación ordinaria (x-4)² + (y+5)²= 25 2- encuentra la ecuación gene
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Responder:

1) x² + y²-8x + 10y + 16 = 0

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Explicación paso a paso:

A partir de la pregunta, debemos expresar la ecuación en la forma estándar de un círculo expresado como;

x² + y² + 2gx + 2fy + c = 0 donde;

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1) Para la ecuación (x-4) ² + (y + 5) ² = 25

Expande el paréntesis;

(x-4) ² + (y + 5) ² = 25

x²-8x + 16 + y² + 10x + 25 = 25

x²-8x + 16 + y² + 10y + 25-25 = 0

Recopile términos similares;

x² + y²-8x + 10y + 16 + 0 = 0

<em>x² + y²-8x + 10y + 16 = 0 </em>

<em>Por lo tanto, la ecuación requerida es x² + y²-8x + 10y + 16 = 0 </em>

<em> </em>

2) Para la expresión (x + 1) ² + (y + 9) ² = 49

x² + x + 1 + y² + 18y + 81 = 49

x² + x + 1 + y² + 18y + 81-49 = 0

Recopile términos similares;

x² + y² + x + 18y + 82-49 = 0

<em>x² + y² + x + 18y + 33 = 0 </em>

<em>Por tanto, la ecuación requerida es x² + y² + x + 18y + 33 = 0</em>

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Step-by-step explanation:

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