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Which function is the result of translating f(x) = x^2 + 14 to the right 5 units and down 6 units?
A) y = (x - 5)^2 + 6
B) y = (x - 5)^2 - 6
C) y= (x - 5)^2 + 8
D) y= (x - 5)^2 + 20

Respuesta :

xKelvin

Answer:

C.

Step-by-step explanation:

Transformations within the quadratic is given by the form:

[tex]y=a(x-h)^2+k[/tex]

Where a is the vertical stretch, h is the horizontal translations, and k is the vertical translations.

We have:

[tex]y=x^2+14[/tex]

If we translate this 5 units to the right, we are letting h=5. This yields:

[tex]y=(x-5)^2+14[/tex]

If we shift the function down 6 units, we are subtracting 6 from the function. This will yield:

[tex]y=(x-5)^2+14-6[/tex]

Subtract:

[tex]y=(x-5)^2+8[/tex]

Therefore, our answer is C.

aouasanogo32

Answer:

C) y= (x - 5)^2 + 8

Step-by-step explanation:

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