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ExtremeBDS [4]
2 years ago
15

Describe the graph of the quadratic from the original y = x^2 .

Mathematics
1 answer:
Citrus2011 [14]2 years ago
4 0

Answer:

a. Narrower

b. Shifts left

c. Opens up

d. Shifts up

Step-by-step explanation:

The original quadratic equation is y = x²

The given quadratic equation is y = 5·(x + 4)² + 7

The given quadratic equation is of the form, f(x) = a·(x - h)² + k

a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation

The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>

b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>

c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>

d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>

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