Modulus functions and transformations: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 2 \left|{x - 23}\right| + 2\). Here \(\displaystyle a=2, h=23, k=2, d=2\).
Find the x-coordinate of the vertex.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus functions and transformations: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 3 \left|{x - 24}\right| + 3\). Here \(\displaystyle a=3, h=24, k=3, d=3\).
Find the x-coordinate of the vertex.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus functions and transformations: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 3 \left|{x - 24}\right| + 3\). Here \(\displaystyle a=3, h=24, k=3, d=3\).
Find the least value of f.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus functions and transformations: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 4 \left|{x - 25}\right| + 4\). Here \(\displaystyle a=4, h=25, k=4, d=4\).
Find the least value of f.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus functions and transformations: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 4 \left|{x - 25}\right| + 4\). Here \(\displaystyle a=4, h=25, k=4, d=4\).
Find the larger solution of f(x)=k+ad.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus functions and transformations: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = \left|{x - 26}\right| + 5\). Here \(\displaystyle a=1, h=26, k=5, d=2\).
Find the larger solution of f(x)=k+ad.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus functions and transformations: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = \left|{x - 26}\right| + 5\). Here \(\displaystyle a=1, h=26, k=5, d=2\).
Find the length of the interval where f(x)<k+ad.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus functions and transformations: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 2 \left|{x - 27}\right| + 1\). Here \(\displaystyle a=2, h=27, k=1, d=3\).
Find the length of the interval where f(x)<k+ad.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.