Question

examples - round to three decimal places if needed
solve the systems by graphing
$y=2x^2+5x - 1$
$y=x - 3$
$(-1,-4)$
solve the systems by graphing.
$y=x^2+4x - 4$
$y=2x - 5$

Explanation:

Step1: Set equations equal

$x^2+4x-4=2x-5$

Step2: Rearrange to standard form

$x^2+4x-4-2x+5=0$
$x^2+2x+1=0$

Step3: Solve quadratic equation

$(x+1)^2=0$
$x=-1$

Step4: Find y-value

Substitute $x=-1$ into $y=2x-5$:
$y=2(-1)-5=-2-5=-7$

Answer:

$(-1, -7)$