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Q1 :Let f(x)=2x^2−8

The quadratic function g(x) is f(x) translated 2 units down

What is the equation for g(x)

Q2 Let f(x)=[tex] \frac{3}{4} [/tex]x2−1.

The function g(x) is a vertical stretch of f(x) by a factor of 8.

What is the equation of g(x)?

Q3 The graph of the function g(x) is a transformation of the parent function f(x)=x2 .

Which equation describes the function g?
(refer to picture attached)
A. g(x)=x2+2 ​
B. g(x)=(x−2)2
C. g(x)=(x+2)2 ​
D. g(x)=x2−2

Q1 Let fx2x28 The quadratic function gx is fx translated 2 units down What is the equation for gx Q2 Let fxtex frac34 texx21 The function gx is a vertical stret class=

Respuesta :

Beginner123
Q1 : g(x) = 2x^2 - 10
Q2 : g(x) = 6x^2 - 1 (8*.75)
Q3 : A.
krlosdark12

Answer:

Q1) [tex]g(x)=2x^2-10[/tex]

Q2) [tex]g(x)=6x^2-1[/tex]

Q3) A. [tex]g(x)=x^2+2[/tex]

Step-by-step explanation:

Q1) being [tex]f(x)=2x^2-8[/tex] and g(x) is the same function but translated 2 units down, that is:

[tex]g(x)=f(x)-2\\g(x)=2x^2-8-2\\g(x)=2x^2-10[/tex]

Q2) [tex]f(x)=\frac{3}{4}x^2-1[/tex] and f(x) has a vertical stretch, the vertical strech is given by multiplying the X factor for the stretch:

[tex]g(x)=8*\frac{3}{4}x^2-1\\\\g(x)=6x^2-1[/tex]

Q3) Looking at the graph we can notice that thhe function g(x) is the same fuction f(x) but it has been displaced 2 units up, so:

[tex]g(x)=f(x)+2\\g(x)=x^2+2[/tex]

The correct answer is A.

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