Horiziontal Translation of Square Root Graphs - Definition
Read this topicExplanations 3
- (Video) Translations of the Square Root Graph by mathman1024 This video by mathman1024 covers horizontal translations with square root graphs. Summary\large{\text{Summary}}Summa…
By Alex Federspiel, Jonathan Heller, Amy Feraco, Anusha Rahman
- Horizontal Translations We've learned about the base square root graph: y=xy=\sqrt xy=x And we've learned about vertical translations where the graph moves along the yyy-axis. …
By Alex Federspiel, Anusha Rahman
- Horizontal Translation of Square Root Graphs We have already learned how to graph square roots using a ttt-table, and how to apply vertical translations to our square root graph…
By Jonathan Heller, Alex Federspiel, Anusha Rahman
Problems 28
- What is the equation for this graph?
- In the equation y=x−5y=\sqrt{x-5}y=x−5, the −5-5−5 shifts the square root graph in which of the following ways?
- What is the equation of the graph?
- What is the equation of the graph?
- How much do you need to shift the square root graph to get the graph of 2y=4x+82y=\sqrt{4x+8}2y=4x+8?
- Which of the following equations represents a shift of the graph y=xy=\sqrt{x}y=x right by 222 units?
- Which of the following equations shifts the graph y=xy=\sqrt{x}y=x left by 111 unit?
- If you shift the graph y=xy=\sqrt{x}y=x up by 333 units and right by 222 units, what is the new equation of the graph?
- If you shift the graph y=xy=\sqrt{x}y=x down by 444 units and left by 666 units, what is the new equation of the graph?
- If you shift the graph y=xy=\sqrt{x}y=x right by 555 units and then shrink the resulting graph to 12\frac{1}{2}21 its vertical size, what is the new equation of the graph?
- Select the equation of the graph that has a horizontal translation of 333 units to the left compared to the square root function.
- Select the equation of the graph that has a horizontal translation of 444 units to the right compared to the square root function.
- Select the equation of the graph that has a horizontal translation of 222 units to the right compared to the square root function.
- Select the equation of the graph that has a horizontal translation of 101010 units to the left compared to the square root function.
- If f(4)=nf(4)=nf(4)=n for some positive number nnn, for which value of xxx does g(x)=ng(x)=ng(x)=n?
- If f(4)=nf(4)=nf(4)=n for some positive number nnn, for which value of xxx does g(x)=ng(x)=ng(x)=n?
- If f(2)=nf(2)=nf(2)=n for some positive number nnn, for which value of xxx does g(x)=ng(x)=ng(x)=n?
- If f(10)=nf(10)=nf(10)=n for some positive number nnn, for which value of xxx does g(x)=ng(x)=ng(x)=n?
- Do the graphs y=xy=\sqrt{x}y=x and y=x+ay=\sqrt{x+a}y=x+a intersect for any nonzero value of aaa?
- If f(x)=x+af(x)=\sqrt{x+a}f(x)=x+a and g(x)=x+bg(x)=\sqrt{x+b}g(x)=x+b, which condition must be true if f(x)=g(x)f(x)=g(x)f(x)=g(x) for any value of xxx?
- If f(a)=g(b)f(a)=g(b)f(a)=g(b), what is the distance ddd between the xxx-values aaa and bbb?
- If f(a)=g(b)f(a)=g(b)f(a)=g(b), what is the distance ddd between the xxx-values aaa and bbb?
- Which of the curves in the graph has the equation y=x+2y=\sqrt{x+2}y=x+2?
- Which of the curves in the graph has the equation y=x−2y=\sqrt{x-2}y=x−2?
- kkk is a positive, non-zero constant. The graph of the square root function shifted kkk units to the left has a function of:
- kkk is a positive, non-zero constant. The graph of the square root function shifted kkk units to the right has a function of:
- ygreen=ax+cy_{\text{green}} = a\sqrt{x+c}ygreen=ax+c Assume aaa and ccc are positive, non-zero constants. If the green graph is only 2c2c2c to the left of the blue one, what i…
- The green graph (leftmost) is 333 units to the left of the blue graph (rightmost). If yblue=kxy_{\text{blue}} = \sqrt{kx}yblue=kx where kkk is some positive, non-zero constant…