Question

Which of the following graphs is described by the function given below? y=x^2-6x-7

Answer 1

Graph A is the correct answer.

Explanation:

Answer 2

Explanation:

If we have to find the graph described by a function then we should try to convert the equation into vertex form first.

Here given equation of the parabola is y = x² - 6x - 7

Then we will convert this equation into the vertex form.

y = x² - 2×(3x) + 9 - 16

y = (x - 3)² - 16

So the vertex of the given parabola is (3, -16).

Now we have understood that parent function y = x² have been shifted 3 units right and 16 units down.

Therefore, the given translated parabola will be in the shape of attached figure.