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Guys, can you please correct my answer for Question #45 of The Quadratic Relations for me, please?

Guys Can You Please Correct My Answer For Question 45 Of The Quadratic Relations For Me Please class=

Sagot :

semsee45

Answer:

[tex]y=3(x-7)^2[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

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

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

Parent function

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

Translated 7 units to the right

Subtract 7 from the x-value:

[tex]f(x-7) \implies y=(x-7)^2[/tex]

Vertically stretched by a factor of 3

Multiply the whole function by 3:

[tex]3f(x) \implies y=3(x-7)^2[/tex]
  • y=x²

Streched 7 units right means change in x

So new equation

  • y=(x-7)²

Vertically streched by 3

  • y=3(x-7)²
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