Consider the parent graph f(x) = x2 . Then, g(x) is a translation according the rule: y = (x + 3)2 + 4. Find the graph g(x).
1 answer:
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Answer:
105 cm²
Step-by-step explanation:
The figure is composed of a rectangle and a triangle
area of rectangle = 15 × 6 = 90 cm²
area of triangle = bh ( b is the base and h the height )
Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus
area of triangle = × 6 × 5 = 3 × 5 = 15 cm²
Total area = 90 + 15 = 105 cm²
Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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