Question

determine if the following quadratic will open up or down. f(x) = -3x² + x - 7

Explanation:

Step1: Recall the rule for quadratic direction

For a quadratic function \( f(x) = ax^2 + bx + c \), the parabola opens up if \( a > 0 \) and down if \( a < 0 \).

Step2: Identify the coefficient \( a \)

In \( f(x) = -3x^2 + x - 7 \), the coefficient \( a \) is \( -3 \).

Step3: Compare \( a \) with 0

Since \( -3 < 0 \), the parabola opens down.

Answer:

DOWN (the yellow button labeled "DOWN")