Translations of absolute-value graphs
Solve translations of absolute-value graphs in Grade 9 math — Explanation Imagine picking up the 'V' graph and moving it around! Part of Advanced Topics in Algebra for Grade 9.
Key Concepts
Property The graph of $f(x) = |x h| + k$ translates the parent function. The vertex moves to $(h, k)$. Explanation Imagine picking up the 'V' graph and moving it around! The 'k' value lifts it up or down, while the 'h' value slides it left or right. Just look for h and k to find the new vertex location. Examples In $f(x) = |x 2| + 3$, the graph shifts right 2 and up 3. The vertex is $(2, 3)$. In $f(x) = |x + 5| 1$, the graph shifts left 5 and down 1. The vertex is $( 5, 1)$.
Common Questions
What is 'Translations of absolute-value graphs' in Grade 9 math?
Explanation Imagine picking up the 'V' graph and moving it around! The 'k' value lifts it up or down, while the 'h' value slides it left or right.
How do you solve problems involving 'Translations of absolute-value graphs'?
The 'k' value lifts it up or down, while the 'h' value slides it left or right. Just look for h and k to find the new vertex location.
Why is 'Translations of absolute-value graphs' an important Grade 9 math skill?
Many students think 'right 4' means they should write $|x + 4|$.. But remember, the sign inside the absolute value is the opposite of the direction.