Question

Find the x- and y-intercepts of the parabola y=4x2+10x+5.Enter each intercept as an ordered pair (x, y). Use a comma to separate the ordered pairs of multiple intercepts. You may enter an exact answer or round to 2 decimal places. If there are no solutions or no real solutions for an intercept enter ∅.

Answer 1

Given the equation of the parabola,

$y=4x^2+10x+5$

The solution for the x and y-intercept will be resolved graphically,

From the graph plotted above,

The x-intercept are,

$(-1.81,0),(-0.69,0)$

The y-intercept is,

$(0,5)$