True or false? The graph of the quadratic function $$ -x^2 + 2x + 5 $$ opens upward.

Flashcard 16 - Mathematics: Algebraic Reasoning Flashcard Set for the TSIA2

false

The general form of a quadratic function is $ax^2+bx+c$.

If $a > 0$, the graph opens upward.

If $a < 0$, the graph opens downward.

For the function $-x^2 + 2x + 5$, the value of $a$ is $-1$. Since $a < 0$, the graph will open downward.

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