Match the Quadratic Function y = x² + 9 to Its Correct Graph

Question

One function

y=x2+9 y=x^2+9

to the corresponding graph:

999-9-9-9999-9-9-91234

Video Solution

Solution Steps

00:00 Match the function to the appropriate graph
00:03 Notice the coefficient of X squared is positive, so the function is 'happy'
00:08 We want to find the intersection point with the Y-axis
00:12 Substitute X=0 and solve to find the intersection point with Y-axis
00:19 This is the intersection point with the Y-axis
00:22 According to the function type and intersection point
00:26 We can conclude there are no intersection points with the X-axis
00:31 Let's draw the graph according to the function type and intersection points we found
00:34 And this is the solution to the question

Step-by-Step Solution

The solution to the problem is choice 3.

Answer

3

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Question Types

Parabola of the Form y=x²+c: Match functions to the appropriate graphs