Answer:
Two (2) zeroes
Step-by-step explanation:
Given the downward-facing quadratic function, whose vertex occurs at, (0, 3) as the highest point on the graph.
We can determine the zeroes of the graph by looking into the number of points where it crosses the x-axis, referred to as the x-intercepts.
- When you solve for the solutions of a quadratic function algebraically using the quadratic equation, [tex]\large \bf \sf \:x\:=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex], you are solving for its roots, where its corresponding y-coordinates equal to zero.
- The discriminant, (b² - 4ac) which is the radicand (the algebraic expression under the radical symbol), tells you whether a given quadratic function has one, two, or no roots.
The given quadratic function has two (2) zeroes, as it crosses the x-axis twice. Please see the attached screenshot, where it shows where these two roots are located on the graph.
