Use the parent function f(x) = x2 to fill in the blanks.

Mathematics

1 answer:

krek1111 [17]2 years ago

5 0

Answer:

a) reflection across the x-axis

b) f(x) =( x-3)²

c) f(x) = x² + 6 is a vertical taranslation up by '6' units

Step-by-step explanation:

Explanation

Given that the parent function

f(x) = x²

a) f(x) = x² is rotation across the x-axis then the new function

f(x) = - x²

b) ) f(x) = x² is a horizontal translation right by '3' units then the function is changes to f(x) = (x-3)²

f(x) = x² is a vertical translation up '6' units then the function is changes to f(x) = x² +6

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Bingel [31]

Answer:

see explanation

Step-by-step explanation:

To multiply the vector by a scalar, multiply each of the elements by the scalar.

To add 3 vectors add the corresponding elements of each vector

2a + 3b + 4c

= 2 $\left[\begin{array}{ccc}2\\3\\\end{array}\right]$ + 3 $\left[\begin{array}{ccc}-4\\1\\\end{array}\right]$ + 4 $\left[\begin{array}{ccc}3\\2\\\end{array}\right]$

= $\left[\begin{array}{ccc}4\\6\\\end{array}\right]$ + $\left[\begin{array}{ccc}-12\\3\\\end{array}\right]$ + $\left[\begin{array}{ccc}12\\8\\\end{array}\right]$