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(a) Draw the graph of the parabola. (b) From your graph, estimate the $x$ -intercepts. (c) Check your estimate by finding the $x$ -intercepts exactly.$$y=x^{2}-4 x-5$$

$$\text { (b) }-1,5(\mathrm{c})-1,5$$

Algebra

Chapter 1

Functions and their Applications

Section 4

Quadratic Functions - Parabolas

Functions

McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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(a) Draw the graph of the …

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Yeah. All right. So we're tasked Graphing. This wife was X squared minus four X minus five. And I just like to think about graphing this with that equation. X equals negative B over two A. So the B value in this problem is negative. Four. So the negative of negative force positive for over two times the A value is one. I guess we can put right there. So four divided by two is two. So that tells me my Vertex is at the location where access to and to figure out the why, but you have to plug it in with two squared is four minus four times two is 84 minus eight negative, four minus five giving negative nine. So when I go to graph this, I just count right to down nine. So my bird, Texas located and then with a I just do this pretty straightforward that the first point is up 1/1, Uh, because it's positive. But then the next one is up three because I know that square numbers go up by odd imagers, and then the next one will be up by five. So now I'm hitting the X intercepts and I actually have the perfect X intercepts of X equals one. So this is my graph will circle this in green is a part a or a um, and then part B. I'm just guessing the X intercepts looks like it's at negative one and 12345 And you can actually figure out the exact X intercepts by setting this equation equal to zero because the X interceptor when Y equals zero, this is actually perfectly fact herbal equation, the factors of five that had to be negative for our negative five and positive one. But then remember, your X intercepts are the opposite of these values. So positive five and negative one. So my guest answers for letter B are actually exactly correct for the factored form and the exact answers.

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