QuestionCompare the graph of g(x) with f(x) _ Describe the difference(s)g(x) ~(x+3)7 - 3 with f(x) = x2 16O4 shifts right 3 units; shifts downward units; and shrink...

Explain how the graph of the function compares to the graph of $y=f(x) .$ For example, for the equation $y=2 f(x+3),$ the graph of $f$ is shifted 3 units to the Ieft and stretched vertically by a factor of $2 .$ $$y=-f(x+4)$$

Yeah. Shock again. Yeah. With the crazy radicals that got 1/2 of apple jacks. How is that going to compare with Anglo's Activex? There's two things happen. We have a negative being multiplied outside of the function and we have the one half the multiplied outside of functions. Both of these vertical effect. Mhm. The vertical, the negative outside is a reflection. All negative reflection. Since outside tapping vertically when you flip over vertically you flip over the X. Axis. Yeah. And one happening will fight outside is referred to as a vertical shrink vertical because it's outside Shrine because it's by 1/2 mm. Yeah.

Where the equation Y equals of negative X minus two mm. We want to think how does it compare to why it was F. O. X. Or analyze. Name all the transformations first. Bring your attention to the negative inside. That would be a reflection horizontally or over the Why? Access? Yeah. Mhm. Create a problem. And we've got trapped into outside as a vertical shit. So down to and Shipton down to humans from our vehicles after the attacks.

So here we are given a new modification of our base case and were asked to getting describe it. So our base case is given as Y equals F of X. And the question was given. All right, Blue, why was F negative X minus four? So what does this do for us? Well, let's look at it piece by piece, starting with this negative four. That negative four is going to shift our function for us down. So you're a shift and down for units. And there is this a minus sign here in front of the X. So this is going to go ahead and going to flip us relative to the X axis. We're gonna have a flip over X axes. And for this new equation, those are our only two um modifications we have relative to the base case, but that's kind of how you pull those out from the given equation and given information.

Really, equation Y equals f. 01 half x minus three, so how I compared to Y. F of X, those two things happening first, that one half will climb inside of the function and that is going to affect the function horizontal you and those always happen a little backwards. That would be referred to as a horizontal stretch by two And this -3 outside is a vertical effect. That's a shift down three. I don't know.