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The graph of y=x is shifted 4 units up and 3 units right. Which equation represents the new graph?
O
y = -√-3+4
O
y=-√x+3+4
O
y=-x-4 + 3
y = -x + 4 + 3

The graph of yx is shifted 4 units up and 3 units right Which equation represents the new graph O y 34 O yx34 O yx4 3 y x 4 3 class=

Respuesta :

Answer:

y = -√(x - 3) + 4

Step-by-step explanation:

On shifting 4 units up

  • y = -√x + (4)
  • y = -√x + 4

On shifting 3 units right

  • y = -√(x - 3) + 4
  • y = -√(x - 3) + 4
  • Option 1
semsee45

Answer:

[tex]\textsf{A)} \quad y=-\sqrt{x-3}+4[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Parent function (shown in blue on attached diagram):

[tex]y=-\sqrt{x}[/tex]

Shifted 4 units up (shown in orange on attached diagram):

[tex]\implies y=-\sqrt{x}+4[/tex]

Shifted 3 units right (shown in purple on attached diagram):

[tex]\implies y=-\sqrt{x-3}+4[/tex]

Ver imagen semsee45

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