Question

points (8,6) and (2,0) also fall on the graph of the function. Complete theThe point (1, - 2) is the vertex of the graph of a quadratic function. Thegraph of this quadratic function by first finding two additional points on104the graph,3642010424BTo810246B104Part A: What is the y intercept of the graphePart B: What are the x interceptsPart C: Find the interval on which the rate of change is always positive,Part D: What is the sign of the leading coefficient for this quadraticfunction How do you knows

Answer 1

`\begin{gathered} a\text{ general quadratic function is in the form} \\ y=ax^2+bx+c \\ \text{where a, b and c are constant. With these 3 points we can find the equation.} \\ \text{However, an easy way to do that is by taking into account the vertex. } \\ A\text{ parabola in vertex form is given by:} \end{gathered}`
`\begin{gathered} y=a(x-h)+k \\ \text{where the vertex has coordinates (h,k)} \\ IN\text{ THIS CASE} \\ (h,k)=(4,-2) \\ \text{hence} \end{gathered}`