CharlieBrown2002
contestada

Which is one of the transformations applied to the graph of [tex]f(x)=x^2[/tex] to produce the graph of [tex]p(x)=-50+14x-x^2[/tex]?


A. a shift down 1 unit

B. a shift left 7 units

C. a shift right 1 unit

D. a shift up 7 units


Could you explain your answer?


If it's wrong it should be report called "improper answer."

No need to spamming answers! If you spamming and that's going to mark your answer report.


Thank you!


-Charlie

Respuesta :

MathPhys

Answer:

A

Step-by-step explanation:

Write each parabola in standard form.

f(x) = x²

f(x) = (x − 0)² + 0

For p(x), complete the square.

p(x) = -50 + 14x − x²

p(x) = -(x² − 14x + 50)

p(x) = -(x² − 14x + 49 + 1)

p(x) = -(x² − 14x + 49) − 1

p(x) = -(x − 7)² − 1

The transformation from f(x) to p(x) includes a reflection about the x-axis, a shift right 7 units, and a shift down 1 unit.

The answer is A.

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