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VARVARA [1.3K]
3 years ago
13

40 POINTS! Please HELP!!!Use the function f(x) to answer the questions:

Mathematics
2 answers:
Hitman42 [59]3 years ago
7 0
<h2>Answer:</h2>

<h2>Step-by-step explanation:</h2>

Eq.  5x^2 + 2x - 3

Part A:

1. Set the output value f(x)  (also known as "y" on a coordinate plane) = 0

2. 5x^2 + 2x - 3 = 0

3. Factor using "ac" method. (5 x 3 = 15, what factors of 15 when added/subtracted = 2?)

  • 5x^2 + 5x - 3x - 3 = 0
  • 5x(x + 1) - 3(x + 1) = 0
  • (5x - 3)(x + 1) = 0

4. Use zero property.

  • 5x - 3 = 0
  • 5x = 3
  • x = 3/5

         OR

  • x + 1 = 0
  • x = - 1

5. These are the x-intercepts: (3/5, 0) and (- 1, 0)

Part B:

Vertex Formula: x = -b/2a

In a quadratic equation the base equation (standard form) is ax^2 + bx + c, where a is a non-zero constant, and b and c are real numbers.

(eq. 5x^2 + 2x - 3)

-2/2(5) = -2/10 = - 1/5 --> x-coordinate

plug (- 1/5) in for x to get - 16/5 as the y-coordinate.

VERTEX: (-1/5, - 16/5) ; minimum because "a" value is positive

Hatshy [7]3 years ago
3 0

Answer:

Part A: (-1, 0), (0.6, 0)

Part B: Minimum, (-0.2, -3.2)

Part 2: We would find the 3 points: the 2 zeros and the vertex and we would be able to graph.

Step-by-step explanation:

Easiest and fastest way to answer these questions is to graph the equation in a graphing calc.

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