Question

HELP ASAP! Use the quadratic equation y = –2x^2 + 4x +5 to complete the statements.

Answer 1

Answer:

Step-by-step explanation:

Given quadratic equation is,

y = -2x² + 4x + 5

y = -2(x² - 2x) + 5

y = -2(x² - 2x + 1 - 1) + 5

y = -2(x² - 2x + 1) + 2 + 5

y = -2(x - 1)² + 7

This equation is in the vertex form of the quadratic equation,

y = a(x - h)² + k

where, (h, k) is the vertex of the parabola.

Therefore, vertex of the given quadratic equation is (1, 7)

The equation can be rewritten as y = -2(x - 1)² + 7.

Therefore, the vertex of the graph of the function y = -2x² + 4x + 5 in the xy-coordinate plane is located at the point (1, 7).