y=-x^2+5x+36
converting into intercept form
is this the correct answer?
y=(x+9)(x-4)
y = - ( x - 9 ) ( x + 4 )
oh okay thanks!
To convert the quadratic equation y = -x^2 + 5x + 36 into intercept form, you can factorize the equation. The intercept form of a quadratic equation is given as y = a(x - r1)(x - r2), where r1 and r2 are the x-intercepts (or roots) of the equation.
To find the x-intercepts, set y = 0 and solve for x:
0 = -x^2 + 5x + 36
Now, we need to factorize -x^2 + 5x + 36. We can do this by finding two numbers that multiply to 36 and add up to 5. In this case, the numbers are 4 and 9:
-1(x^2 - 5x - 36)
-1(x - 4)(x + 9)
So, the x-intercepts are x = 4 and x = -9. Now we can rewrite the given quadratic equation in intercept form:
y = -1(x - 4)(x + 9)
Therefore, the correct answer is:
y = (x - 4)(x + 9)