2 years ago

Which is one of the transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3?

Mathematics

2 answers:

Butoxors [25]2 years ago

4 0

One of the transformations used is to shift up 3 units

<h3>Transformation</h3>

Given the parent function f(x) = x^2

Given that transformation is applied to the parent function to gt the function g(x)=2x^2−28x+3

You can see from the function that 3 was added as a constant. Hence one of the transformations used is to shift up 3 units

Learn more on transformation here: brainly.com/question/17311824

Alex2 years ago

4 0

Answer:

A. shifted up 3 units

Step-by-step explanation:

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Find a unit vector that is orthogonal to both u and v. u = −8, −6, 4 v = 10, −18, −2

Delvig [45]

A vector w orthogonal to u and v can be obtained by the cross product of u and v, namely u x v. Subsequently, u x v may be reduced to a unit vector.

u<-8,-6,4>
v<10,-18,-2>

w=u x v
=
i j k
-8 -6 4
10 -18 -2
=<12+72, 40-16, 144+60>
=<84, 24, 204>
=12 < 7,2,17>

Check that w is orthogonal to u and v
w.u = 12<7,2,17><-8,-6,4> = 12(-56-12,68)=0
w.v = 12<7,2,17><10,-18,-2> = 12(70-36-34)=0
Therefore w is orthogonal to both u and v.

Unit vector of w
$\frac{}{\sqrt{7^2+2^2+17^2}}=\frac{1}{3\sqrt{38}}$