Question

Given the following values for a quadratic function, which is the graph of the function? (–1, 0), (0, 3), (1, 4), (2, 3), (3, 0)

Answer 1

Answer:

The function of the graph is f(x) = - x² + 2x + 3

Step-by-step explanation:

Using the value of the graph we can say that the the function is negative x² because there are x-intercepts and the y-intercept if above 0.

Using the x-intercepts we can form the function of the graph:

-(x + 1)(x - 3) - we have a negative in front of the two brackets because the function is a negative. Now we multiply out the brackets and the negative at the end:

-(x² - 2x - 3)

- x² + 2x + 3 - So the function of the graph is:

f(x) = - x² + 2x + 3