MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
Consider the graph of y=−x2+4x−7 .
(1) Use the discriminant to show that the graph does not cut the x-axis.
(2) Is the graph positive definite or negative definite? Explain your answer.
(3) Find the vertex and y-intercept.
(4) Hence sketch the function.