Using graphs to solve equations Quiz

1. Where does $y=x^2-3x$ meet $y=2x-6$?

• A. $x=1$ and $x=6$
• B. $x=-2$ and $x=-3$
• C. $x=2$ and $x=3$
• D. $x=0$ and $x=3$

2. Using the graph of $y=x^2-4x$, which line solves $x^2-5x+1=0$?

• A. $y=x-1$
• B. $y=x+1$
• C. $y=-x-1$
• D. $y=5x-1$

3. The equation formed by equating a line and a curve has a repeated root. What is the discriminant?

• A. Positive
• B. Negative
• C. Undefined
• D. Zero

4. How many solutions has $x^3-3x=1$?

• A. $1$
• B. $3$
• C. $2$
• D. $0$

5. Where does $y=x^2-4$ meet the $x$-axis?

• A. $x=4$ only
• B. $x=-4$ and $x=4$
• C. $x=-2$ and $x=2$
• D. $x=2$ only