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How do you identify the important parts of #y = x^2 -5x + 4# to graph it?

Answer 1

How to graph y = x^2 - 5x + 4

Here are the important parts to graph the quadratic function: #y = x^2 - 5x + 4# x-coordinate of vertex: #x = (-b/2a) = 5/2# y-coordinate of vertex: #y = f(5/2) = 25/4 - 25/2 + 4 = -25/4 + 16/4 = -9/4# y-intercept--> Make x = 0 --> y = 4 x-intercepts --> make y = 0 --> solve #x^2 - 5x + 4 = 0# Since (a + b = c = 0), use the Shortcut. The 2 real roots are: x = 1 and #x = c/a = 4.# graph{x^2 -5x + 4 [-10, 10, -5, 5]}

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Answer 2

Jace Anderson

To graph the equation y = x^2 - 5x + 4, you can identify the important parts by analyzing its vertex, axis of symmetry, and intercepts.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.