AlgebraVery hardReflecting a linear function across the y-axis
Algebra practice question
The graph of the linear function g has slope 4 and y-intercept −2. The graph of the function h is the reflection of the graph of g across the y-axis. What is the value of h(5)?
Answer: -22
g(x) = 4x − 2, and reflecting across the y-axis gives h(x) = g(−x) = −4x − 2. So h(5) = −22.
Common wrong answers
- If you answered 18
- 18 is g(5), with no reflection.
- If you answered 22
- 22 reflects across the x-axis as well, flipping the intercept's sign.
- If you answered -18
- −18 flips the slope but also the intercept.
More Algebra questions
- Very hard
For what value of c does the system 3x − 2y = 8 and 9x + cy = 5 have no solution? - Very hard
In the system 5x + 4y = 32 and 3x − 2y = 6, what is the value of 8x + 2y? - Very hard
The solution set of the inequality |ax − b| ≤ 6, where a and b are constants and a > 0, is 3 ≤ x ≤ 9. What is … - Very hard
The function f is linear, and for every value of x, f(x + 2) − f(x) = 6. If f(5) = 4, what is the value of f(0… - Very hard
In the system of equations 2x + 3y = 12 and 5x − 2y = k, where k is a constant, the solution (x, y) satisfies … - Very hard
In the xy-plane, the system of equations kx + 6y = 12 and 2x + (k − 1)y = 6, where k is a constant, has infini…
Not affiliated with the College Board. SAT is a trademark of the College Board.