How do I solve (-9,17); slope -4/3

2 answers:

8 0

You can make a graph going from -20,20 and -20,20
then after that you would want to go down 4 over 3 to the right continuously, then head in the opposite direction up 4 over 3 to the left. Once you find your y-intercept you can form your equation.
It should me y= -3/4x +41/4

tia_tia [17]3 years ago

3 0

Easy you plug in 17 in for y and -9 in for x and then -4/3 for the m to the slope intercept form which is y=mx+b and figure out what B is so it would be 17=-4/3(-9)+b and solve it

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What are the transformations to this quadratic function y= (x+4) power of 2 - 8

I am Lyosha [343]

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the minimum (upward facing graph) or maximum (downward-facing graph).

The axis of symmetry occurs at x = h.

a = determines whether the graph opens up or down, and makes the graph wider or narrower.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Going back to your quadratic function,

y = (x + 4)² - 8

The vertex occrs at (-4, -8)
a is assumed to have a value of 1.
Given the value of h = -4, then it means that the graph shifted horizontally by 4 units to the left.
Since k = -8, then it implies that the graph translated vertically at 8 units downward.