Question

HELP PLEASE

problems 1, 2, 3, 4, 5, 6​

Answer 1

See explanation

Explanation:

If the parent function is
`y=f(x)`, then

• the graph of the function
  `y=f(x-a)` is translated a units to the right graph of the function
  `y=f(x);`

• the graph of the function
  `y=f(x+a)` is translated a units to the left graph of the function
  `y=f(x);`

• the graph of the function
  `y=f(x)+a` is translated a units up graph of the function
  `y=f(x);`

• the graph of the function
  `y=f(x)-a` is translated a units down graph of the function
  `y=f(x).`

Q1. The graph of the function
`g(x)=x^2+5` is translated 5 units up graph of the function
`f(x)=x^2.`

Q2. The graph of the function
`h(x)=x^2+10` is translated 10 units up graph of the function
`f(x)=x^2.`

Q3. The graph of the function
`j(x)=x^2-5` is translated 5 units down graph of the function
`f(x)=x^2.`

Q4. The graph of the function
`g(x)=-2x^2+4` is reflected across the x-axis, stretched by a factor of 2 and translated 4 units up graph of the function
`f(x)=x^2.`

Q5. The graph of the function
`h(x)=-(1)/(4)x^2-1` is reflected across the x-axis, stretched by a factor of
`(1)/(4)` and translated 1 unit down graph of the function
`f(x)=x^2.`

Q6. The graph of the function
`k(x)=(1)/(3)x^2+5` is stretched by a factor of
`(1)/(3)` and translated 5 units up graph of the function
`f(x)=x^2.`