Quadratic equation and quadratic functions mathquestion.in
Quadratic equation and quadratic functions mathquestion.in
Let's learn some vocabulary for quadratic functions . First, vertex. What is a vertex of a quadratic function? Well,the word vertex means a peak. So the vertex of a quadratic function is the peak point on a parabola. This means for a parabola opening down, the vertex is the highest point. Now for a parabola opening up, the vertex is the lowest point. So in this case, we have a parabola opening up, so the vertex is the lowest point, righthere. quadratic functions Sitting at x equals 1, y equals negative 9. So the vertex is at 1 and negative 9. Next, the axis of symmetry. The axis of symmetry of a quadratic function is a vertical line that divides the parabola into two equal halves, like this. And the axis of symmetry must always pass through the vertex. The symmetry behavior can be best understood when we fold the parabola in half along the axis of symmetry. Then the right half of the parabola will completely overlap the left half of the parabola. Can you see that? Let me show you.…