7. Which of the following equations represent quadratic functions? (Select Three) A) \( y=5 x+3 \) B) \( y=x^{2}-4 x+1 \) C) \( y=3(x-2)^{2}+5 \) D) \( y=2 x^{3}-x \) E) \( y=-x^{2}+6 x-2 \)

Gotcha! Quadratic functions are polynomials of degree 2, which means their highest exponent is 2. In your options, the equations \( y=x^{2}-4 x+1 \), \( y=3(x-2)^{2}+5 \), and \( y=-x^{2}+6 x-2 \) all have a term with \( x \) raised to the power of 2, hence they represent quadratic functions. To easily spot a quadratic function, look for the standard form \( y = ax^2 + bx + c \). If you can find a term where \( x \) is only squared (like in options B, C, and E), it fits the bill! So keep an eye out for that exhilarating parabola shape when these functions are graphed!