Quadratic functions and their graphs Quiz

1. The graph of $y=3x^2-12x+7$ has its line of symmetry at $x=$

• A. $-2$
• B. $2$
• C. $\frac73$
• D. $4$

2. The graph of $y=x^2-6x+9$ meets the $x$-axis

• A. Never
• B. Twice
• C. Once, where it crosses the axis
• D. Once, where it touches the axis

3. A quadratic graph crosses the $x$-axis at $x=2$ and $x=-3$ and the $y$-axis at $(0,12)$. Its equation is

• A. $y=-2x^2-2x+12$
• B. $y=2x^2+2x-12$
• C. $y=-2(x+2)(x-3)$
• D. $y=x^2+x-6$

4. The minimum value of $f(x)=x^2-8x+3$ is

• A. $-8$
• B. $4$
• C. $-13$
• D. $19$

5. A quadratic graph has a maximum point at $(2,5)$ and passes through $(0,-3)$. The coefficient of $x^2$ is

• A. $2$
• B. $-2$
• C. $-4$
• D. $-8$