If I had a spare $5,000 to invest in ASX shares this week, here's where I'd put my money.

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Life360 Inc (ASX: 360)
Life360 shares had a difficult start to 2026, but have now rebounded around 46% from an annual low in mid-May.
It's good news for investors, but the ASX tech company's shares are now around 53% below an all-time high set in October last year and 19% lower year to date.
The ASX shares were caught up in a tech-sector-wide sell-off over the past nine months. Investors sold their tech shares amid growing fears that companies' core services could be replaced by AI.
At the same time, there has been some concern that some tech company share prices, including Life360, had become overpriced and were trading above fair value.
But I think the shares have been oversold, and there is huge growth potential ahead.
Life360 reported a 38% increase in quarterly revenue, mostly driven by a 32% increase in subscription revenue and a 36% increase in core subscription revenue. The company also upgraded its FY26 adjusted EBITDA and revenue guidance, showing that the business is profitable and performing well.
Market Index data shows brokers have a strong buy consensus on the stock. The $32.01 average target price implies a potential 22% upside, at the time of writing.
Eagers Automotive Ltd (ASX: APE)
After a strong start to the year, Eagers shares have gradually tumbled, down around 15% for the year-to-date, at the time of writing.
It's not all bad news, though. The ASX automotive company's shares have rebounded since hitting an annual low in early June.
ASX consumer discretionary shares have outperformed over the past month thanks to tailwinds from renewed confidence around interest rate cuts and softer-than-expected inflation figures last month.
Eagers itself has recorded some impressive financial results recently too.
In May, the company reported that its Australia and New Zealand turnover was up 5% year-on-year for the four months to April. The company's order book climbed 70% from the previous quarter, and NPAT was up 40% year-on-year.
I see the headwinds continuing for Eagers shares this year.
Brokers are bullish too. They tip a 25% potential upside ahead for the ASX shares, to an average $26.04 per share, at the time of writing.
Flight Centre Travel Group Ltd (ASX: FLT)
While Flight Centre shares have rebounded strongly from a multi-year low in mid-May, they're still down around 18% year to date at the time of writing.
I think that even after the latest share price increase, the ASX travel share still presents a fantastic buying opportunity for investors.
It looks like travel demand is still strong, and fuel price volatility has lessened over the past month. If these both continue then I think we'll see even more investors buy back into the shares.
The company is also due to release its FY26 earnings results in late-August. If the result comes in ahead of market expectations we could see a quick uptick in Flight Centre shares.
Brokers agree too. Market Index data shows a consensus buy rating for the ASX shares over the next 12 months. The average $15.36 target price implies a potential 23% upside ahead, at the time of writing.