Determine the equatiln of the graph and select the correct answer below.

Mathematics

1 answer:

olga_2 [115]3 years ago

7 0

Answer:

Step-by-step explanation:

okay, this is actually pretty easy because it just works with simple translations.

(x+a)^2 + b

if a is positive, the graph shifts left

if a is negative, the graph shifts right

if b is positive, the graph shifts up

if b is negative, the graph shifts down

so since the quadratic, is starts at the origin and is shift 3 to the left, and 2 up:

the equation is

(x+3)^2 + 2

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lyudmila [28]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

★ ∆ ABC is similar to ∆DEF

★ Area of triangle ABC = 64cm²

★ Area of triangle DEF = 121cm²

★ Side EF = 15.4 cm

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

★ Side BC

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

Since, ∆ ABC is similar to ∆DEF

[ Whenever two traingles are similar, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. ]

$\therefore \tt \boxed{ \tt \dfrac{area( \triangle \: ABC )}{area( \triangle \: DEF)} = { \bigg(\frac{BC}{EF} \bigg)}^{2} }$