If Jennifer doubled the money that she has in her account now and then took out $50, she would have enough left in her account to buy a new bike that costs $299. Write and solve an equation to determine how much money Jennifer has now.

Something like 2x-50 $299

Step-by-step explanation:

Because when she doubles the number, that means it is multiplied by 2, but the number she has is unknown, so it's x. Then she takes $50, which means you have to subtract from the 2x. I put the because technically, the variable could be any number and you could still buy the $299 bike. But if you want an exact answer for the x would be $174.50. :)

Step 1: convert the equation into fhe vertex form

To do you can complete squares:

y = - [x^2 + 4x + 3]

y = - [ (x + 2)^2 - 4 + 3]

y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1

Then the vertex is (-2, 1)

Now you can drasw the vertex

Step 2: Find the roots (zeros)

y = - [ (x + 2)^2 - 1] = 0

(x + 2)^2 - 1 = 0

(x+2)^2 = 1

(x+2) = (+/-) √1

x + 2 = (+/-1)

x = - 2 +/- 1

x = -1 and x = -3

Now you draw the points (-1,0) , (-3,0)

Step 3: find the interception with the y-axis.

That is y value when x = 0

y = - (0)^2 - 4(0) - 3 = -3

Then draw the point (0, -3)

Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.

So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.