How can I find the horizontal intercept of the equation #y=-4x^2-8x+12# algebraically?
2 Answers
The horizontal intercepts have coordinates
Explanation:
We want to find the intercepts of a certain graph with the
This means that a point on the graph is on the
Since
or, if you prefer,
note that the whole equation can be simplified dividing by
To solve this equation, you can either use the quadratic formula, or look for two number that give
The second request is satisfied only by
x-intercepts:
y-intercept:
Explanation:
I assume by "horizontal" you mean the x-intercept?
To find the x-intercept set
Factor:
To find the y-intercept set
as you can. see by what we, with did any quadratic function:
the y-intercept is just
graph{y=-4x^2-8x+12 [-20.71, 19.29, -3.68, 16.32]}