 # Get help with y-intercept problems

Recent questions in Y-Intercept enclinesbnnbk 2022-05-15 Answered

### This is equation of a curve $\sqrt{y}+\sqrt{x}=\sqrt{A}$$A$ is a positive constant$T$ is a tangent of the curve from any point on it$B$ is the y-intercept of $T$$C$ is the x-intercept of $T$Prove that $B+C=A.$. Defensorentx9 2022-05-10 Answered

### Given $f\left(x\right)=\frac{1}{4}\left(x+4{\right)}^{2}-2$Find: vertex, $y$-intercept, $x$-intercepts (if any), axis of symmetryWhat I have so far:Vertex:$\left(-4,-2\right)$$y$-intercept: $\left(0,2\right)$$x$-intercept: $2$Axis of symmetry $x=-4$ Jay Barrett 2022-05-09 Answered

### Find the $y$-intercept of the curve that passes through the point $\left(2,1\right)$ with the slope at $\left(x,y\right)$ of $\frac{-9}{{y}^{2}}$$\frac{dy}{dx}=\frac{-9}{{y}^{2}}$$\int {y}^{2}dy=\int -9dx$$\frac{{y}^{3}}{3}=-9x+{C}_{1}$${y}^{3}=-27x+C$ $\left(C=3{C}_{1}\right)$$y=\left(-27x+C{\right)}^{1/3}$$1=\left(-27\left(2\right)+C{\right)}^{1/3}$$C=54$$0=\left(-27x+54{\right)}^{1/3}$$y-intercept=\left(-2,0\right)$Where is mistake? Marissa Singh 2022-05-09 Answered

### The gradient is $m=-4/3$, and the point given is $\left(3/2,3\right)$Let $c$ be the $y$-intercept$y=mx+c$$y=\left(-4/3\right)x+c$If I substitute $x$ and $y$ from the point given, $3=\left(-4/3\right)\left(3/2\right)+c$ and look for $c$, I get $c=5$But according to my answer sheet, $c=33/8$ by using $y-{y}_{1}=m\left(x-{x}_{1}\right)$Why are the two methods giving different answers? Jamir Melendez 2022-05-09 Answered

### An equation to the tangent line of $h\left(x\right)=\mathrm{tan}\left(x\right)+\mathrm{cos}\left(x\right)$ is given by $y=mx+b$ where $m$ is the slope and $b$ is the $y$-intercept. If $x=\frac{\pi }{4}$ find $m$. Defensorentx9 2022-05-08 Answered

### Two questions involving quadratics. Next to a diagram of a parabola with a ma point with the y intercept of $\left(0,p\right)$ and roots $\left(-1,0\right)$ and $\left(p,0\right)$ it says:3a) Show that the equation of the parabola is $y=p+\left(p-1\right)x-{x}^{2}$3b) For what value of $p$ will the line $y=x+p$ be a tangent to this curve. dresu9dnjn 2022-05-07 Answered

### Need to find the $y$-intercept of the tangent to $y=\frac{18}{{x}^{2}+2}$ at point $\left(1,6\right)$.I keep getting $0$, but I don't think that's right. Azzalictpdv 2022-04-06 Answered

### Let $f\left(x\right)={x}^{2}+x-6$.a. Write down the $y$-intercept of the graph of $f$.how do we figure this out? I know $f\left(x\right)$ means $y$, so do we use the quadratic formula? ${x}^{2}+x-6$.b. Solve $f\left(x\right)=0$.We plug $0$ into the $x$’s in the original formula, right? Jaime Coleman 2022-04-06 Answered