Question

HELP PLEASE problems 1, 2, 3, 4, 5, 6​

Answer 1

Answer:

See explanation

Step-by-step 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 $h(x)=-\dfrac{1}{4}x^2-1$ is reflected across the x-axis, stretched by a factor of $\frac{1}{4}$ and translated 1 unit down graph of the function $f(x)=x^2.$

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