Question

question 4 0.5 pts what is the parent function of the equation $y = 2x^2 + 5x - 7$ absolute value quadratic constant linear

Explanation:

The given equation is \( y = 2x^2 + 5x - 7 \). A parent function is the simplest form of a function in a family of functions. The quadratic function family has the general form \( y = ax^2 + bx + c \) (where \( a
eq0 \)). The given equation is a quadratic function (since the highest power of \( x \) is 2), so its parent function is the quadratic function. Absolute value functions have the form \( y = |x| \), constant functions are of the form \( y = c \) (no \( x \) terms), and linear functions are of the form \( y = mx + b \) (highest power of \( x \) is 1), so those are not the parent function here.

Answer:

B. Quadratic