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spin [16.1K]
3 years ago
9

PLEASE HELP WILL GIVE BRAINLIEST. Which of the following statments is true about the equation shown? Mark all that are true. t (

x) = (x-5)^2 + 7.
a
the function is quadratic
b
the function will produce a line with a positive slope when graphed
c
the function will produce a concave up parabola when graphed
d
the vertex will be at (7, -5)
Mathematics
1 answer:
Vesna [10]3 years ago
8 0

Answer:

a and c

Step-by-step explanation:

The equation of a quadratic in vertex form is

f(x) = a (x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 5)² + 7 ← is in vertex form

Thus the function is quadratic → a

• If a > 0 then the grapg will open upwards

• If a < 0 then the graph will open downwards

Here a = 1 > 0 then graph will open upwards → c

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S=(\frac{5+8}{2},\frac{8+3}{2})&#10;\\S=(\frac{13}{2},\frac{11}{2})&#10;\\S=(6.5, 5.5).
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d=\sqrt{(6.5-5)^2+(5.5-3)^2}&#10;\\=\sqrt{(1.5)^2+(2.5)^2}&#10;\\=\sqrt{2.25+6.25&#10;&#10;\\=\sqrt{8.5}=2.9 \neq 4
For RT:
d=\sqrt{(3.5-5)^2+(5.5-3)^2}&#10;\\=\sqrt{(-1.5)^2+(2.5)^2}&#10;\\=\sqrt{2.25+6.25}&#10;\\=\sqrt{8.5}=2.9 \neq 5
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d=\sqrt{(3.5-6.5)^2+(5.5-5.5)^2}&#10;\\=\sqrt{(-3)^2+(0)^2}&#10;\\=\sqrt{9+0}=\sqrt{9}=3
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