What is an equation that is a parabola with a vertex at(-1,-1)

1 answer:

5 0

The equation for a parabola is y = ((x - a)^2) + b. There is a shift one to the left (we’ll call that a) and one shift down (we’ll call that b) for the point (-1,-1). Shifts to the left and right are replaced with a and shifts up and down are replaced with b. y = ( x - (-1))^2 - 1. Simplify: y = (( x + 1)^2) - 1

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10 POINTS!The function P(x) = 3x2 + 4x + 5,is dilated by the function I(x) = P(2x). Write the new function I(x).

Verdich [7]

Hey there!!!

Equation given :

p ( x ) = 3x² + 4x + 5

Find p ( 2x )

In order to solve this, we will have to substitute the value 2x instead of x

Hence,

... p ( 2x ) = 3 ( 2x )² + 4 ( 2x ) + 5

... p ( 2x ) = 3 ( 8x² ) + 8x + 5

... p ( 2x ) = 24x² + 8x + 5

As we know I ( x ) = p ( 2x )

The value of I(x) = 24x² + 8x + 5

Hope my answer helps!

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Ne4ueva [31]

Answer:

<h2>In the attachment</h2>

Step-by-step explanation:

$y-2x>-8\qquad\text{add}\ 2x\ \text{to both sides}\\\\y>2x-8\\-------------------------\\\\-\ dotted\ line\\\leq,\ \geq-\ solid\ line\\,\ \geq-\ shading\ above\ the\ line\\-------------------------\\\\y=2x-8-\text{It's a linear function.}\\\text{We only need two points to draw a graph.}\\\text{Choice two arbitrary values of x, substitute to the equation,}\\\text{and calculate the values of y}.\\\\for\ x=4\to y=2(4)-8=8-8=0\to A(4,\ 0)\\for\ x=0\to y=2(0)-8=0-8=-8\to B(0,\ -8)$

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BartSMP [9]

-9-6+12h+40=22
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