Modulus graphs of quadratic functions: check 1
Difficulty: ★★☆Maths4U Original · Short practice
Consider \(y = \left|{\left(x - 19\right)^{2} - 16}\right| + 4\), with h=19, d=4, k=4.
Find the left-hand x-coordinate where y=k.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus graphs of quadratic functions: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
Consider \(y = \left|{\left(x - 21\right)^{2} - 4}\right| + 1\), with h=21, d=2, k=1.
Find the left-hand x-coordinate where y=k.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus graphs of quadratic functions: check 2
Difficulty: ★★☆Maths4U Original · Short practice
Consider \(y = \left|{\left(x - 20\right)^{2} - 25}\right| + 5\), with h=20, d=5, k=5.
Find the right-hand x-coordinate where y=k.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus graphs of quadratic functions: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
Consider \(y = \left|{\left(x - 21\right)^{2} - 4}\right| + 1\), with h=21, d=2, k=1.
Find the right-hand x-coordinate where y=k.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus graphs of quadratic functions: check 3
Difficulty: ★★☆Maths4U Original · Short practice
Consider \(y = \left|{\left(x - 21\right)^{2} - 4}\right| + 1\), with h=21, d=2, k=1.
Find the value of y at x=h.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus graphs of quadratic functions: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
Consider \(y = \left|{\left(x - 22\right)^{2} - 9}\right| + 2\), with h=22, d=3, k=2.
Find the value of y at x=h.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus graphs of quadratic functions: check 4
Difficulty: ★★☆Maths4U Original · Short practice
Consider \(y = \left|{\left(x - 22\right)^{2} - 9}\right| + 2\), with h=22, d=3, k=2.
Find y at x=h+d+1.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus graphs of quadratic functions: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
Consider \(y = \left|{\left(x - 23\right)^{2} - 16}\right| + 3\), with h=23, d=4, k=3.
Find y at x=h+d+1.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.