Question

brainly Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 + 5x – 1.
Answer
simplify it
Answer
choose one of the answer choices
Answered by GPT 3.5
To find the equation of the axis of symmetry, we use the formula x = -b / (2a), where a, b, and c are the coefficients of the quadratic equation in the form of y = ax^2 + bx + c.

In this case, a = 4 and b = 5. Plugging into the formula, we get:
x = -5 / (2 * 4)
x = -5 / 8
x = -5/8

So, the equation of the axis of symmetry is x = -5/8.

To find the coordinates of the vertex, we substitute x = -b / (2a) into the original equation.
y = 4(-5/8)^2 + 5(-5/8) - 1
y = 4(25/64) - 25/8 - 1
y = 25/16 - 25/8 - 1
y = 25/16 - 50/16 - 16/16
y = -41/16

Therefore, the coordinates of the vertex are (-5/8, -41/16).
Answered by GPT 3.5
Alright, let's simplify the coordinates of the vertex for the function y = 4x² + 5x - 1:

First, we already determined that the x-coordinate of the vertex is x = -5/8.

Next, we need to find the y-coordinate by substituting x = -5/8 back into the original equation:
y = 4(-5/8)² + 5(-5/8) - 1
y = 4(25/64) - 25/8 - 1
y = 100/64 - 25/8 - 64/64
y = 1.5625 - 3.125 - 1
y = -2.5625

So, the coordinates of the vertex are (-5/8, -2.5625).
Answered by GPT 3.5
Apologies for the oversight. Let's choose one of the answers:

The equation of the axis of symmetry is x = -5/8.

The coordinates of the vertex are (-5/8, -2.5625).