Use the function to answer the question f(x)=-2|x-5|+3 what is the vertex of the graph of f(x)

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

8 0

Answer:

The vertex of this graph is (5, 3)

Step-by-step explanation:

In order to find the vertex of any graph in vertex form, we need to look at the base form.

f(x) = a|x - h| + k

The point (h, k) is the vertex. You can see that 5 lines up with the h term and 3 lines up with the k term. This gives us a vertex of (5, 3)

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snow_tiger [21]

Answer:

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Step-by-step explanation:

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8 0

2 years ago

Find the distance between the two points in simplest radical form.<br> (-1,9) and (4, -3)

jolli1 [7]

Answer:

GIVEN BY POINTS :-

( -1, 9) , ( 4 , -3)

Here ,

$\bullet \: \: x _{1} = - 1 \\ \bullet \: \: x _{2} = 4 \\ \bullet \: \: y _{1} = 9 \\ \bullet \: \: y _{2} = - 3 \\$

Using Distance formula :

$= > \sf d = \sqrt{( {x _{2} - x _{1}) }^{2} + {( {y _{2} - y _{1}) }^{2} } } \\ \\ = > \sf d = \sqrt{ ({ 4 + 1)}^{2} + { ( - 3 - 9)}^{2} } \\ \\ = > \sf d = \sqrt{ {5}^{2} + {( - 12)}^{2} } \\ \\ = > \sf d = \sqrt{25 + 144} \\ \\ = > \sf d = \sqrt{169} \\ \\ = > \boxed{ \sf{ d = 13\:units }}\\$